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(1 customer review)**5.00**out of 5 based on 1 customer ratingPre-university Calculus will prepare you for the Introductory Calculus courses by revising four important mathematical subjects that are assumed to be mastered by beginning Bachelor students.

## Description

Mathematics is the language of Science, Engineering and Technology. Calculus is an elementary Mathematical course in any Science and Engineering Bachelor. Pre-university Calculus will prepare you for the Introductory Calculus courses by revising four important mathematical subjects that are assumed to be mastered by beginning Bachelor students:

- functions,
- equations,
- differentiation,
- integration.

#### Course Outcome

- Understand, visualize and manipulate different elementary functions, like powers, roots, polynomials, trigonometric functions, exponential and logarithmic functions.
- Understand, visualize and solve equations and inequalities involving these elementary functions.
- Understand the concept of differentiation and to calculate the derivatives of compositions of elementary functions.
- Understand the concept of integration and to use some elementary integration techniques

#### Course Content

Lessons Status

3

#### Equations (Part 1)- Introduction to Equations (Part 1)
- Equations Involving Polynomials
- Equations of Polynomials: Degree 3 and Higher
- Equations Involving Rational Functions and Square Roots
- Equations Involving Square Roots
- Overview of Strategies
- Catch the Error!
- Catch the Error Explanation
- Summary and Preview
- Complex Numbers

- Introduction to Equations (Part 1)
- Equations Involving Polynomials
- Equations of Polynomials: Degree 3 and Higher
- Equations Involving Rational Functions and Square Roots
- Equations Involving Square Roots
- Overview of Strategies
- Catch the Error!
- Catch the Error Explanation
- Summary and Preview
- Complex Numbers

4

#### Equations (Part 2)- Introduction to Equations (Part 2)
- Equations Involving Trigonometric Functions
- Equations Involving Exponentials and Logs
- Catch the Error!
- Catch the Error Explanation
- Inequalities
- Catch the Error!
- Catch the Error Explanation
- Systems of Equations
- Summary and Preview
- Linear Programming and Optimization

- Introduction to Equations (Part 2)
- Equations Involving Trigonometric Functions
- Equations Involving Exponentials and Logs
- Catch the Error!
- Catch the Error Explanation
- Inequalities
- Catch the Error!
- Catch the Error Explanation
- Systems of Equations
- Summary and Preview
- Linear Programming and Optimization

5

#### Differentiation- Introduction to Differentiation
- Concept of Differentiation
- Standard Derivatives and Rules of Calculation
- Product Rule
- Chain Rule
- Derivative of the Sine
- Derivative of Exponentiation
- Tangent Line
- Non-differentiable Functions
- Application: Finding Extremal Values
- Catch the Error!
- Catch the Error Explanation
- Summary and Preview
- Differential Equations

- Introduction to Differentiation
- Concept of Differentiation
- Standard Derivatives and Rules of Calculation
- Product Rule
- Chain Rule
- Derivative of the Sine
- Derivative of Exponentiation
- Tangent Line
- Non-differentiable Functions
- Application: Finding Extremal Values
- Catch the Error!
- Catch the Error Explanation
- Summary and Preview
- Differential Equations

6

#### Integration- Introduction to Integration
- Concept of Integration
- The Meaning of Integral
- The Fundamental Theorem of Calculus
- Calculating Integrals
- Proof of Fundamental Theorem of Calculus
- Rules of calculation: Splitting the interval
- Rules of calculation: Linear substitution
- Catch the Error!
- Catch the Error Explanation
- Summary and Preview
- Riemann Sum

- Introduction to Integration
- Concept of Integration
- The Meaning of Integral
- The Fundamental Theorem of Calculus
- Calculating Integrals
- Proof of Fundamental Theorem of Calculus
- Rules of calculation: Splitting the interval
- Rules of calculation: Linear substitution
- Catch the Error!
- Catch the Error Explanation
- Summary and Preview
- Riemann Sum

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5out of 5Md Yanur Islam–I always found integration hard, until I took this course!