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Lessons

557

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169

Courses

8

Lessons

557

Enrolled

169

Financial Mathematics: Concepts, Calculations and Applications

$199 Value

Mathematics for Data Science and Machine Learning using R

$199 Value

Discrete Mathematics

$199 Value

Graph Theory

$199 Value

Number Theory

$199 Value

Master Number Base Conversion

$199 Value

Pre Calculus Mastered

$199 Value

Calculus 1 Mastered

$199 Value

Access

Lifetime

Content

2.0 hours

Lessons

30

By Starweaver | in Online Courses

This course will introduce you to a wide variety of calculations and related concepts that are used by financial market participants in different applications such as calculating prices, rates of return, and yields. These concepts and more will be discussed as you go along the way. There are 3 sections in this course which will be discussed within its 30 lessons. This course offers video contents and supplementary PDF files of the instructor's presentation.

- Access 30 lectures & 2 hours of content 24/7
- Learn about the relationship between price & yield on fixed income securities
- Explain different day count & compounding conventions used in fixed income securities
- Determine the price of both coupon bearing & zero coupon bonds
- Know about the interest rate & pricing conventions for fixed income instruments
- Learn about the dramatic difference between yield to maturity & realize rate of return
- Learn about financial math applications as it is used in finance, banking, securities & insurance markets and jobs

**Starweaver**

**Important Details**

- Length of time users can access this course: lifetime
- Access options: desktop & mobile
- Certificate of completion included
- Redemption deadline: redeem your code within 30 days of purchase
- Updates included
- Experience level required: intermediate

**Requirements**

- Financial calculator
- Knowledge of the English language

- Interest Rate Conventions and Time Value of Money
- Segment - 01 - Introduction and Concepts - 10:38
- Introduction and Concepts (Slides)
- Segment - 02 - What are Interest Rates - 10:32
- What are Interest Rates (Slides)
- Segment - 03 - International Conventions - 9:50
- International Conventions (Slides)
- Segment - 04 - Time Value of Money - 10:43
- Time Value of Money (Slides)
- Segment - 05 - Basic Compounding - 10:58
- Basic Compounding (Slides)
- Segment - 06 - Continuous Compounding - 10:30
- Continuous Compounding (Slides)

- Debt Security Pricing
- Segment - 07 - Pricing Zero Coupon Bonds - 9:00
- Pricing Zero Coupon Bonds (Slides)
- Segment - 08 - Pricing Cash Flows - 11:14
- Pricing Cash Flows (Slides)
- Segment - 09 - Bond Prices and Yields - 8:33
- Bond Prices and Yields (Slides)
- Segment - 10 - Pricing Discount Securities - 10:09
- Pricing Discount Securities (Slides)
- Segment - 11 - Bond Equivalent Yields - 9:45
- Bond Equivalent Yields (Slides)

- Bond Yields and Rates of Return
- Segment - 12 - More on Bond Yields - 9:54
- More on Bond Yields (Slides)
- Segment - 13 - Yields vs Returns - 9:03
- Yields vs Returns (Slides)
- Segment - 14 - Yields and Assumptions - 10:06
- Yields and Assumptions (Slides)
- Segment - 15 - Yield to Maturity - 7:50
- Yield to Maturity (Slides)

Access

Lifetime

Content

10.0 hours

Lessons

65

By Eduonix Learning Solutions | in Online Courses

Data Science has become one of the most important aspects in most of the fields. From healthcare to business, data is important. However, it revolves around 3 major aspects and these are data, foundational concepts, and programming languages for interpreting the data. In this course, you will be taught about foundational mathematics for Data Science using R programming language, a language developed specifically for performing statistics, data analytics, and graphical modules in a better way.

- Access 65 lectures & 10 hours of content 24/7
- Master the fundamental mathematical concepts required for data science & machine learning
- Master linear algebra, calculus & vector calculus from ground up
- Learn to implement mathematical concepts using R programming language
- Master R programming language

**Eduonix Learning Solutions**

**Important Details**

- Length of time users can access this course: lifetime
- Access options: desktop & mobile
- Certificate of completion included
- Redemption deadline: redeem your code within 30 days of purchase
- Updates included
- Experience level required: intermediate

**Requirements**

- Basic knolwedge on statistics & mathematics

- Introduction
- Intro - 1:01

- Overview of R
- Introduction - 2:02
- Overview of R Workspace & Basic Commands - 22:50
- LAB 1 Intro - 2:27
- LAB 1 Solution - 11:10

- Linear Algebra
- Scalars Vectors and Matrices - 12:15
- Application Scalars Vectors and Matrices - 18:41
- LAB 1 Intro Scalars Vectors and Matrices - 1:38
- LAB 1 Solution Scalars Vectors and Matrices - 12:15
- Vector Operations - 11:59
- Application Vector Operations - 22:10
- LAB 2 Intro Vector Operations - 1:54
- LAB 2 Solution Vector Operations - 11:55
- Matrix Operations Addition Subtraction Multiplication - 17:40
- Application Matrix Operations Addition Subtraction Multiplication - 11:08
- LAB 3 Intro Matrix Operations Addition Subtraction Multiplication - 1:12
- LAB 3 Solution Matrix Operations Addition Subtraction Multiplication - 4:07
- Matrix Operations Transposes and Inverses - 11:33
- Application Matrix Operations Transposes and Inverses - 12:54
- LAB 4 Intro Matrix Operations Transposes and Inverses - 1:00
- LAB 4 Solution Matrix Operations Transposes and Inverses - 3:19
- What is Linear Regression - 11:27
- Application What is Linear Regression - 28:05
- LAB 5 Intro What is Linear Regression - 2:17
- Lab 5 Solution What is Linear Regression - 12:12
- Matrix Representation of Linear Regression - 12:28
- Application Matrix Representation of Linear Regression - 13:37
- Lab 6 Intro Matrix Representation of Linear Regression - 3:21
- Lab 6 Solution Matrix Representation of Linear Regression - 12:45

- Section Calculus
- Functions and Tangent Lines - 15:31
- Application Functions and Tangent Lines - 18:31
- Lab 1 Intro Functions and Tangent Lines - 1:51
- Lab 1 Solution Functions and Tangent Lines - 13:12
- Derivatives - 9:50
- Application Derivatives - 18:35
- Lab 2 Intro Derivatives - 2:38
- Lab 2 Solution Derivatives - 14:58
- Optimization Using Derivatives Single Variable Functions - 11:58
- Application Optimization Using Derivatives Single Variabl - 10:22
- Intro Optimization Using Derivatives Single Variable Function - 1:26
- Lab 3 Solution Optimization Using Derivatives Single Variable Funct - 8:15
- Optimization Using Derivatives Two Variable Functions - 10:42
- Application Optimization Using Derivatives Two Variable F - 17:03
- Lab 4 Intro Optimization Using Derivatives Two Variable Functions - 2:25
- Lab 4 Solution Optimization Using Derivatives Two Variable Function - 5:02
- Linear Regression The Calculus Optimization Perspective - 19:59
- Application Linear Regression The Calculus Optimization P - 16:41
- Lab 5 Intro Linear Regression The Calculus Optimization Perspective - 2:56
- Lab 5 Solution Linear Regression The Calculus Optimization Perspect - 14:26

- Tying it All Together Vector Calculus
- Orthogonal Vectors and Linear Independence - 10:32
- Application Orthogonal Vectors and Linear Independence - 13:15
- Lab 1 Intro Orthogonal Vectors and Linear Independence - 2:47
- Lab 1 Solution Orthogonal Vectors and Linear Independence - 12:07
- Eigenvectors and Eigenvalues - 12:47
- Application Eigenvectors and Eigenvalues - 9:50
- Lab 2 Intro Eigenvectors and Eigenvalues - 0:49
- Lab 2 Solution Eigenvectors and Eigenvalues - 4:42
- Vectors Gradient Descent - 10:02
- Application Vectors Gradient Descent - 10:51
- Lab 3 Intro Vectors Gradient Descent - 1:21
- Lab 3 Solution Vectors Gradient Descent - 12:50
- Linear Regression The Gradient Descent Perspective - 4:17
- Application Linear Regression The Gradient Descent Perspective - 17:55
- Lab 4 Intro Linear Regression The Gradient Descent Perspectivve - 1:15
- Lab 4 Solution Linear Regression The Gradient Descent Perspective - 7:20

Access

Lifetime

Content

17.0 hours

Lessons

116

By Miran Fattah | in Online Courses

Discrete Mathematics is the backbone of Mathematics and Computer Science. It's the study of topics that are discrete rather than continuous, for that, the course is a MUST for any Math or SC student. This course covers the most essential topics that will touch every Math and Science student at some point in their education. Discrete Mathematics gives students the ability to understand the Math language and based on that, the course is divided into 8 sections: Sets, Logic, Number Theory, Proofs, Functions, Relations, Graph Theory, Statistics, and Combinatorics.

- Access 116 lectures & 17 hours of content 24/7
- Learn the language of Mathematics & Mathematical symbols
- Construct, read & prove Mathematical statements using a variety of methods
- Understand the fundamental topics in Logic, how to construct truth tables, & tell the falsehood or truthfulness of compound statements
- Understand Boolean Expressions, black boxes, logical gates, digital circuits & many related topics
- Master fundamentals of Set Theory, equivalence relations & equivalence classes
- Learn the fundamental theorem of arithmetic
- Find incidence & adjacency matrices, and identify walks trails, paths and circuits
- Learn essential concepts in Statistics & Combinatorics

**Miran Fattah | BS in Mathematics & Geophysics**

**Important Details**

- Length of time users can access this course: lifetime
- Access options: desktop & mobile
- Certificate of completion included
- Redemption deadline: redeem your code within 30 days of purchase
- Updates included
- Experience level required: beginner

**Requirements**

- A fair background in algebra

- Sets
- Introduction - 0:19
- Defenition of a Set - 8:41
- Number Sets - 10:10
- Set Equality - 9:16
- Set-Builder Notation - 9:56
- Types of Sets - 11:49
- Subsets - 10:27
- Power Set - 5:06
- Ordered Pairs - 4:59
- Cartesian Products - 14:08
- Cartesian Plane - 3:38
- Venn Diagrams - 3:13
- Set Operations (Union, Intersection) - 14:35
- Properties of Union and Intersection - 10:16
- Set Operations (Difference, Complement) - 11:57
- Properties of Difference and Complement - 7:29
- De Morgan’s Law - 8:17
- Partition of Sets - 15:49

- Logic
- Introduction - 0:22
- Statments - 7:13
- Compound Statements - 13:10
- Truth Tables - 9:20
- Examples - 13:03
- Logical Equivalence - 6:39
- Tautologies and Contradictions - 6:15
- De Morgan’s Laws in Logic - 11:34
- Logical Equivalence Laws - 3:23
- Conditional Statements - 12:58
- Negation of Conditional Statements - 9:31
- Converse and Inverse - 7:25
- Biconditional Statements - 8:46
- Examples - 11:50
- Digital Logic Circuits - 12:54
- Black Boxes and Gates - 15:18
- Boolean Expressions - 6:23
- Truth Tables and Circuits - 9:24
- Equivalent Circuits - 6:37
- NAND and NOR Gates - 7:12
- Quantified Statements-ALL - 7:36
- Quantified Statements-ANY - 6:39
- Negations of Quantified Statements - 8:28

- Number Theory
- Introduction - 0:35
- Parity - 12:43
- Divisibility - 10:45
- 44-Prime Numbers - 8:03
- 45-Prime Factorization - 8:33
- GCD, LCM - 17:23

- Proofs
- Proofs - 5:40
- Terminologies - 7:37
- Direct Proofs - 8:45
- Proof by Contraposition - 11:26
- Proofs by Contradiction - 17:16
- Proofs by Exhaustion - 13:36
- Existence & Uniqueness Proofs - 15:57
- Proofs by Induction - 11:41
- Induction Examples - 18:46

- Functions
- Introduction - 0:24
- Functions - 15:05
- Evaluating a Function - 12:29
- Domain - 15:56
- Range - 5:29
- Function Composition - 9:43
- Function Combination - 9:00
- Even and Odd function - 8:19
- One-to-One Function - 8:18
- Inverse Functinos - 10:10

- Relations
- Introduction - 0:25
- The Language of Relations - 10:26
- Relations on Sets - 12:44
- The Inverse of a Relation - 6:05
- Reflexivity, Symmetry, and Transitivity - 13:07
- Examples - 7:31
- Properties of Equality & Less Than - 7:48
- Equivalence Relation - 6:42
- Equivalence Class - 6:30

- Graph Theory
- Introduction - 0:28
- Graphs - 11:25
- Subgraphs - 8:32
- Degree - 9:52
- Sum of Degrees of Vertices Theorem - 23:22
- Adjacency and Incidence - 9:15
- Adjacency Matrix - 16:16
- Incidence Matrix - 8:04
- Isomorphisms - 8:23
- Walks, Trails, Paths, and Circuits - 12:41
- Examples - 10:18
- Eccentricity, Diameter, and Radius - 6:47
- Connectedness - 20:03
- Euler Trails and Circuits - 17:36
- Fleury’s Algorithm - 10:15
- Hamiltonian Paths and Circuits - 5:46
- Ore's Theorem - 14:08
- The Shortest Path Problem - 12:58

- Statistics
- Introduction - 0:19
- Terminologies - 3:05
- Mean - 3:31
- Median - 3:11
- Mode - 3:01
- Range - 8:00
- Outlier - 4:18
- Variance - 9:25
- Standard Deviation - 4:14

- Combinatorics
- Introduction - 3:29
- Factorials! - 7:46
- The Fundamental Counting Principle - 13:24
- Permutations - 12:50
- Combinations - 12:01
- Pigeonhole Principle - 6:10
- Pascal's Triangle - 8:20

- Sequence and Series
- Introduction - 0:19
- Sequnces - 6:37
- Arithmatic Sequance - 12:19
- Geometric Sequances - 8:57
- Partial Sums of Arithamtics Sequance - 11:56
- Partial Sum of Geometric Sequance - 6:31
- Series - 12:32

Access

Lifetime

Content

9.0 hours

Lessons

66

By Miran Fattah | in Online Courses

Graph theory is an advanced topic in mathematics that deals with the fundamentals and properties of a graph. The course consists of several sections and in each section, there are video lectures where few concepts are explained. There is an example(s) after the explanation(s) so you understand the material more. After every lecture, there are quizzes (with solutions) so you can test what you have learned in that lecture.

- Access 66 lectures & 9 hours of content 24/7
- Master fundamental concepts in graph theory
- Know different graphs & their properties
- Understand graph coloring
- Obtain solid foundation in trees, tree traversals & expression trees
- Understand Eulerian & Hamilton paths and circuits
- Perform elementary & advanced operations on graphs
- Know how to turn a graph into a matrix & vice versa

**Miran Fattah | BS in Mathematics & Geophysics**

**Important Details**

- Length of time users can access this course: lifetime
- Access options: desktop & mobile
- Certificate of completion included
- Redemption deadline: redeem your code within 30 days of purchase
- Updates included
- Experience level required: beginner

**Requirements**

- Knowledgeable on elementary operations like addition & mutliplication

- Supplements
- Course Overview - 3:24
- TextBook Recommendations - 2:21
- Tools and Softwares - 5:26
- Sets - 8:38
- Number Sets - 10:07
- Parity - 12:24
- Terminologies - 7:15

- Fundamentals
- Graphs Intro - 2:45
- Graphs - 11:25
- Subgraphs - 8:32
- Degree - 9:52
- Sum of Degrees of Vertices Theorem - 23:22
- Adjacency and Incidence - 9:15
- Adjacency Matrix - 16:16
- Incidence Matrix - 8:04
- Isomorphisms - 8:23

- Paths
- Intro - 0:36
- Walks, Trails, Paths, and Circuits - 12:35
- Examples - 10:18
- Eccentricity, Diameter, and Radius - 6:47
- Connectedness - 20:03
- Euler Trails and Circuits - 17:36
- Fleury’s Algorithm - 10:15
- Hamiltonian Paths and Circuits - 5:46
- Ore's Theorem - 14:08
- Dirac's Theorem - 6:05
- The Shortest Path Problem New New - 15:57

- Graph Types
- Intro - 0:32
- Trivial, Null, and Simple Graphs - 9:29
- Regular Graphs - 9:35
- Complete, Cycles and Cubic Graphs - 10:01
- Path, Wheel and Platonic Graphs - 10:34
- Bipartite Graphs - 14:15

- Trees
- Intro - 0:31
- Trees - 14:02
- Cayley's Theorem - 2:59
- Rooted Trees - 10:24
- Binary Trees - 13:46
- Binary Tree Traversals - 18:04
- Binary Expression Trees - 8:54
- Binary Search Trees (BST) - 19:23
- Spanning Trees - 10:01
- Forest - 7:28

- Digraphs and Tournaments
- Intro - 0:20
- Digraphs - 11:58
- Degree Digraph - 9:07
- Isomorphism Digraphs - 7:30
- Adjacency Matrix Digraphs - 10:16
- Incidence Matrix Digraph - 4:50
- Walks, Paths and Cycles Digraphs - 12:06
- Connectedness Digraph - 5:22
- Tournaments - 7:47

- Planar Graphs
- Intro - 0:21
- Planar Graphs - 9:52
- Kuratowski's Theorem - 14:05
- Euler's Formula - 10:26
- Dual Graphs - 10:55

- Graph Operations
- Intro - 0:35
- Vertex and Edge Deletion - 7:32
- Cartesian Product - 9:46
- Graph Join and Transpose - 4:01
- Complement Graphs - 5:17

- Graph Colorings
- Intro - 0:21
- Vertex Colorings - 5:26
- Edge Colorings - 8:43
- Total Colorings - 5:24

Access

Lifetime

Content

8.0 hours

Lessons

63

By Miran Fattah | in Online Courses

Number theory is the study of patterns, relationships, and properties of numbers. Studying numbers is a part theoretical and a part experimental, as mathematicians seek to discover fascinating and unexpected mathematical relationships and properties. In this course, you will explore some of those fascinating mathematical relationships and properties and you will learn essential topics that are in the heart of Mathematics, Computer Science, and many other disciplines.

- Access 63 lectures & 8 hours of content 24/7
- Thorough understanding of number theory
- Know different number bases like binary & hexadecimal
- Master divisibility & its rules, Euclidean division theorem, and others
- Know the fundamental theorem of Arithmetic
- Learn about finite, infinite, & periodic continued fractions
- Know different numbers, number sets, patterns, & properties
- Master factorials, double factorials, factorions, & more
- Learn about primes, prime powers, factorial primes, & Euclide's first theorem
- Master modular arithmetics
- Explore public key cryptography, diffie-hellman protocol, & RSA encryption

**Miran Fattah | BS in Mathematics & Geophysics**

**Important Details**

- Length of time users can access this course: lifetime
- Access options: desktop & mobile
- Certificate of completion included
- Redemption deadline: redeem your code within 30 days of purchase
- Updates included
- Experience level required: beginner

**Requirements**

- Know basic arithmetic operations like +, -, x and ÷ (including long division)
- Know what is a matrix

- Basics
- What is Number Theory - 7:36
- Number Sets - 10:07
- Number Patters - 10:00
- Even and Odd - 11:05
- Number Properties - 9:58
- Proofs - 11:23

- Number Bases
- Number Bases - 11:33
- Binary Base - 11:36
- More Examples - 7:34
- Binary Arithmetics - 15:17
- Hexadecimal Base - 13:13
- Hexadecimal Arithmetics - 14:18

- Factorials
- Factorial - 5:01
- Double Factorial - 8:47
- Super Factorial - 2:32
- Exponential Factorial - 2:42
- Factorion - 5:22
- Stirling's Formula - 3:20
- Number of Digits - 2:37

- Divisibility
- Divisibility - 7:01
- Divisibility Rules - 4:21
- Euclidean Division Theorem - 8:26
- GCD & LCM - 10:33
- Bezout's Identity - 7:41
- Perfect Number - 3:41
- Practical Numbers - 5:08
- Amicable Numbers - 3:43
- Fibonacci Sequence - 8:40
- Tribonacci Sequence - 5:23
- Golden Ratio - 10:42

- Primes
- Prime Numbers - 8:56
- Fundamental Theorem of Arithmetics (FTA) - 9:58
- Almost Primes - 7:15
- Prime Powers - 1:45
- Factorial Prime - 2:59
- Euclid's Theorems - 8:47
- The Prime Number Theorem (PNT) - 3:48
- Unsolved Problems - 6:18
- NumberEmpire - 7:26

- Modular Arithmetics
- Modular Arithmetics - 8:49
- Congruence - 13:07
- Congruence Class - 11:33
- Residue Systems - 4:10
- Quadratic Residues - 4:12
- Module Operations - 6:10
- Inverses - 6:58
- Modular Exponentiation - 10:02
- Wilson’s Theorem - 5:08
- Chinese Remainder Theorem - 9:29
- Fermat's Little Theorem - 4:39
- Euler's Totient Function - 6:46
- Euler-Fermat Theorem - 3:47

- Continued Fractions
- Continued Fraction - 8:19
- Negative Continued Fraction - 10:51
- Finite Continued Fractions - 14:05
- Infinite Continued Fractions - 16:48
- Periodic Continued Fractions - 9:32
- Convergent - 11:57

- Cryptography
- Cryptography - 8:45
- Early Cyphers - 11:18
- Public Key Cryptography - 12:32
- RSA Encryption - 10:52
- Diffie-Hellman Protocol - 4:28

Access

Lifetime

Content

1.0 hours

Lessons

12

By Miran Fattah | in Online Courses

Number bases are different ways of writing and using the same number. In this course, you will learn what number bases are as well as the different important number bases like Base 2, 8, and 16. You will also learn how to convert from base 10 to base 2, 8, and 16 and back. Number bases are very important as it is one of the skills useful to programmers. When you understand how numbers are represented in base 2 (Binary), base 8 (Octal), and base 16 (Hexadecimal), you will better understand different aspects of programming.

- Access 12 lectures & 1-hour of content 24/7
- Know how to convert decimal base to binary base & vice versa
- Know how to convert decimal base to hexadecimal base & vice versa
- Learn how to do arithmetics in binary, octal, & hexadecimal base
- Know how to convert decimal base to octal base & vice versa
- Learn how to convert any base to base 10 & back
- Get to know the different number sets

**Miran Fattah | BS in Mathematics & Geophysics**

**Important Details**

- Length of time users can access this course: lifetime
- Access options: desktop & mobile
- Certificate of completion included
- Redemption deadline: redeem your code within 30 days of purchase
- Updates included
- Experience level required: beginner

**Requirements**

- Know base 10 (Decimal base)
- Know how to do Arithmetics ( +, –, x, ÷) in base 10

- Introduction
- Number Sets - 8:50
- Number Bases - 11:33

- Base 2
- Binary Base - 11:36
- More Examples - 7:34
- Binary Arithmetics - 15:17

- Base 8
- Octal Base - 7:47
- More Example - 4:10
- Octal Arithmetics - 13:24

- Base 16
- Hexadecimal Base - 13:13
- More Example - 6:20
- Hexadecimal Arithmetics - 14:18

- Conclusion
- From any base to base 10 and back - 5:55

Access

Lifetime

Content

21.0 hours

Lessons

112

By Miran Fattah | in Online Courses

Precalculus is a set of course that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. In this course, you will acquire skills on a wide range of functions, trigonometry, sequence and series, and conic sections. This is a place where students learn, understand, and excel in pre-calculus to have a strong foundation for more advanced courses like calculus. The course consists of an extensive curriculum that teaches about all the topics under pre-calculus.

- Access 112 lectures & 20 hours of content 24/7
- Learn to find domain & range of a variety of functions
- Learn to transform & combine functions
- Master logarithms & exponential functions
- Know how to construct & graph trigonometric functions and inverse trig functions
- Know how to prove trigonometric identities & equations
- Acquire thorough understanding on conic sections & how to find their equations.
- Determine behavior of a function from its graph
- Learn how to divide polynomials
- Master unite circle
- Determine domain & range of trigonometric functions
- Master sequence & series and get to know their different kinds
- Be able to use binomial theorem to expand powers of a binomial

**Miran Fattah | BS in Mathematics & Geophysics**

**Important Details**

- Length of time users can access this course: lifetime
- Access options: desktop & mobile
- Certificate of completion included
- Redemption deadline: redeem your code within 30 days of purchase
- Updates included
- Experience level required: intermediate

**Requirements**

- Have a very basic background in Algebra.

- First Section
- Analytic Tri Intro - 1:25
- Exponential Functions - 4:31
- Function - 15:05
- Extra shifting combined - 9:10
- Factorials and Bionomial Coffiectns - 10:33
- Fundamental Id Ex - 17:59
- Area of a Triangle - 7:56
- Domain - 16:04
- Coordinate Plane - 6:20
- D & R Sin Cos Tan Ex - 12:47
- Graph Expon Fun - 6:48
- Domain more ex sqrt - 17:49
- Ellipses Ex - 9:27
- Angles - 15:34
- Bionomial Theorem - 20:17
- Function Composition - 9:43
- Arithmatic Sequance - 12:19
- Geometric Sequances - 8:57
- Domain of Combined functins - 11:52
- Graphing tools - 6:09
- Circles - 3:32
- Even and Odd function - 8:19
- domain examples 1 - 16:44
- Fundamental Identites - 9:31
- Graph of Sine and Cosine - 24:13
- Horizontal asymptote - 10:18
- Evaluating a Function - 12:29
- End Behavior - 14:01
- Graph of rtional - 24:16
- D&R Cot Csc Sec - 13:16
- Exp Eq - 7:04
- Evaluating Trig Functions O - 14:06
- Graph of Inverse Function - 5:24
- Graph of functions - 15:53
- Graph of Log Functions - 12:28
- Graph Reflection - 10:33
- extracting infromation from a graph - 12:13
- Ellipses - 26:52
- Domain and Range from Graph - 8:12
- D&R Cot Sec Csc ex - 16:25
- function combination - 9:00
- Horizontal Shifting - 6:03

- Section 2
- Partial Sums of Arithamtics Sequance - 11:56
- Partial Sum of Geometric Sequance - 6:31
- Intro Unit Circle - 0:46
- Reference Angles - 14:13
- poly divis - 7:35
- Polynomial - 7:56
- Horizontal stretching and shrinking - 6:24
- Hyperbola - 17:44
- Natural Log - 7:26
- Rational Functions - 4:22
- Interest - 18:45
- Increasing and Decreasing Functions - 7:28
- Parabola - 19:37
- Polar to Rec - 10:52
- Number Sets - 10:17
- hyperbula ex - 14:56
- Inverse Functinos - 10:10
- Intro Right Angles - 0:42
- Sequence and Series - 0:19
- Range Examples - 6:26
- Intro Conic Sections - 9:23
- Logarithmic Functions - 12:38
- One-to-One Function - 8:18
- Log Func - 8:18
- Local Max and Min - 8:41
- Polar Coordinates - 18:29
- Intermediate Value Theorem - 8:47
- Log Rules - 6:22
- Law of Cosines - 9:36
- Law of Sins - 12:29
- Inverse Trigonometric Functions - 12:00
- Polar Equations - 6:40
- Parabola Ex - 12:04
- piecewise function - 4:01
- Reference Number - 21:30
- Secant & Cosecant - 25:13
- Range - 5:29
- Real roots of polynomials - 7:14
- Natural Ex F - 5:53
- Long division 1 - 15:31
- local extrema - 4:31

- Section 3
- Sequnces - 6:37
- xrossnig x-axis - 5:51
- Tan & Cot Graph - 20:10
- Verticle line test - 9:46
- Termianl Points - 30:30
- The Remainder Theorem - 5:44
- Shifting of Sine and Cosine - 16:31
- Sin Cos tan Domain and Range - 21:39
- Special Angle Ex - 5:10
- Shifted Parabola - 14:24
- Structure - 10:48
- Vertical Strecthing and Shrinking - 6:27
- Shifted Hyperbullas - 9:34
- Vertical asymptotes 1 - 16:01
- Shifted Conics - 18:58
- Trig Functions o - 12:28
- Standard Position - 7:53
- Vertical Shifting - 4:35
- Trig Ratios - 14:37
- The Unite Circle - 7:52
- Trig Func Example - 12:38
- the Factor theorem - 5:07
- synthetic divisino - 9:00
- Vertical asymptotes - 17:00
- Trig Special Angles - 24:09
- Series - 12:32
- Slant Assymptote - 11:46
- Trig of Any Angle - 18:01
- Shift more example - 9:20

Access

Lifetime

Content

16.0 hours

Lessons

93

By Miran Fattah | in Online Courses

Calculus is the mathematical study of continuous change and the summation of infinitely many small factors. In this course, you will acquire skills to become an expert on limits, limit laws, derivatives, and its applications. This course is a place for you to learn, understand, and excel in Calculus 1 to have a strong foundation for more advanced courses like calculus 2. This course consists of an extensive curriculum that teaches different essential concepts and skills.

- Access 93 lectures & 16 hours of content 24/7
- Understand the concept & formal definition of a limit and be able to solve problems
- Learn continuity & its types
- Master the rules of derivatives
- Master related rates, optimization & linearization
- Understand L’ Hôpital’s Rule & use it to solve problems
- Comprehend the sandwich theory & be able to use it
- Learn the idea of derivatives & use it to solve problems
- Learn implicit differentiation
- Be able to properly graph functions using first & second derivative

**Miran Fattah | BS in Mathematics & Geophysics**

**Important Details**

- Length of time users can access this course: lifetime
- Access options: desktop & mobile
- Certificate of completion included
- Redemption deadline: redeem your code within 30 days of purchase
- Updates included
- Experience level required: intermediate

**Requirements**

- Strong background in Pre Calculus

- Supplements
- Course Overview - 3:15
- Number Sets - 10:07
- Graphing tools - 6:09

- Functions
- Intro - 0:45
- Function - 15:05
- Evaluating a Function - 12:29
- Extracting Info from a Graph - 12:13
- Domain - 15:56
- Range - 5:29
- Function Composition - 9:43
- Function Combination - 9:00
- Even and Odd function - 8:19
- One-to-One Function - 8:18
- Inverse Functinos - 10:10
- Exponential Functions - 4:31
- The Natural Exponential Function - 5:53
- Logarithms - 12:38
- Natural Logarithms - 7:26
- Logarithm Laws - 6:22
- Trigonometric Ratios - 14:37
- Evaluating Trig Functions and Points - 18:01
- Inverse Trigonometric Functions - 12:00

- Limits
- Intro - 0:25
- What is a Limit? - 17:03
- Examples - 14:53
- One-Sided Limits - 11:34
- Limit Laws - 7:56
- Examples - 14:31
- More Examples - 14:30
- The Squeeze (Sandwich) Theorem - 9:53
- Examples - 9:53
- Percise definition of a Limit - 8:10
- Examples - 14:48
- Limits at Infinity - 20:31
- Examples - 14:41
- Asymptotes and Limits at Infinity - 10:18
- Infinit Limits - 12:00

- Continuity
- Intro - 0:24
- Continuty - 11:32
- Types of Discontinuity - 11:38
- Examples - 16:56
- Properties of Continues Functions - 10:41
- Intermediate Value Theorem - 6:18

- Derivatives
- Intro - 0:41
- Average Rate of Change - 8:57
- Instantaneous Rate of Change - 11:49
- Derivative Definition - 13:37
- Examples - 10:28
- Non Differentiable Functions - 6:16
- Constant and Power Rule - 8:33
- Constant Mulitple Rule - 6:32
- Sum and Difference Rule - 6:34
- Product Rule - 13:39
- Quotent Rule - 8:03
- Chain Rule - 14:04
- Examples - 8:46
- Derivative Symbols - 4:11
- Graph of Derivatives - 10:21
- Higher Order Derivatives - 7:39
- Equation of the Tangent Line - 7:23
- Derivative of Trig Functions - 6:53
- Examples - 19:24
- Derivative of Inverse Trig Functions - 8:16
- Examples - 11:40
- Implicit Difrentiation - 16:40
- Derivative of Inverse Functions - 12:47
- Derivative of the Natural Exponential Function - 11:14
- Derivative of the Natural Logarithm Function - 7:02
- Derivative of Exponential Functions - 6:03
- Derivative of Logarithmic Functions - 6:18
- Logarithmic Differentiation - 14:36

- Application of Derivatives
- Intro - 0:46
- Related Rates - 8:25
- Example - 13:03
- Example - 9:24
- Example - 10:18
- Optimization - 15:34
- Example - 11:11
- Example - 7:20
- Extreme Values of Functions - 11:32
- Critical Points - 7:38
- Examples (First Derivative Test) - 15:42
- More Examples - 17:41
- Concavity - 8:28
- Examples - 12:36
- Second Derivative Test - 7:57
- Graphing Functions - 21:12
- Examples - 17:06
- L’ Hôpital’s Rule - 11:31
- Other Indeterminate Forms - 15:12
- Rolle's Theorem - 9:17
- Mean Value Theorem - 18:48
- Mean Value Theorem Application - 3:32

- Unredeemed licenses can be returned for store credit within 30 days of purchase. Once your license is redeemed, all sales are final.