# ePrep Course

## Engineering Mathematics – Calculus ePrep course

Samples of Video Lessons

1 Functions and Limits – Definition of A Function

2 Derivatives – Implicit Differentiation

3 Applications of Differentiation – Mean Value Theorem

4 Integrals – The Fundamental Theorem of Calculus

5 Applications of integration – Areas Between Curves

6 Inverse Functions:  Exponential, Logarithmic, and Inverse Trigonometric Functions – The Inverse Function, Laws of Logarithms

7 Techniques of Integration –  Improper Integrals

8 Further Applications of Integration – Arc Length

9 Differential Equations –  Linear Equations

10 Parametric Equations and Polar Coordinates – Calculus with Parametric Curves

11 Infinite Sequences and Series – Sequences

12 Vectors and the Geometry of Space – Properties of Cross Product

13 Vector Functions – Vector Functions and Space Curves

14 Partial Derivatives – Partial Derivatives

15 Multiple Integrals – Triple Integrals

16 Vector Calculus – The Divergence Theorem

17 Second-Order Differential Equations – Nonhomogeneous Linear Equations, The Method of Undetermined Coefficients