CLEP Calculus
Rolle’s theorem, Riemann sums, u-substitution and more are all carefully explained in this free college-level math course that unpacks key parts of calculus.
If you have an interest in understanding the concepts of differentiation and applications of integral calculus, this course will guide you. You will learn how to find the limits of polynomial and rational functions, as well as how to integrate natural logarithmic and exponential functions. This course will also teach you about definite integrals. Enrollment is free for this College Level Examination Program math course.
What You Will Learn In This Free Course
Limits and Continuity
This module will introduce you to the limits of polynomial, rational as well as trigonometric functions. You will also be introduced to the sandwich theorem and the algebra of continuous functions.
Rates of Change
This module will introduce you to how to calculate the average, as well as instantaneous rates of change. You will also be introduced to the concepts of derivative, notation and intermediate value theorem.; Module
Methods of Differentiation
This module will introduce you to the methods of differentiation in the sum and difference, quotient as well as product rule. You will also be introduced to the derivatives of the six trigonometric functions.; Module
Inverse Trigonometric Functions
This module will introduce you to how to find derivatives using logarithmic differentiation and the derivatives of exponential functions. You will also be introduced to differences between common and natural logs.
First and Second Derivative
This module will introduce you to the first and second derivative tests, as well as the critical point method. You will also be introduced to calculus techniques and techniques for graphing functions.; Module
Applications of the Derivative
This module will introduce you to the applications of the derivative to velocity, acceleration, as well as jerk. You will also be introduced to the steps involved in solving optimization problems.; Module
CLEP Calculus – First Assessment
In order to pass this assessment, you will need to score 80 per cent or above. Remember, if you do not achieve the required standard after the first attempt, you can re-take the assessment until a successful outcome is achieved.
Definite and Indefinite Integrals
This module will introduce you to the concepts of antidifferentiation, as well as the properties of definite and indefinite integrals. You will also be introduced to the different formulas for sigma notation and three sigma laws.
Power Rules of Integration
This module will introduce you to the power and basic rules of integration, as well as integration by u-Substitution. You will also be introduced to the method of partial functions and separable differential equations.
Velocity and Position Equation
This module will introduce you to the velocity and position equation, as well as the equation of the area of the region in a plane. You will also be introduced to the applications of exponential growth and decay.; Module
CLEP Calculus – Second Assessment
In order to pass this assessment, you will need to score 80 per cent or above. Remember, if you do not achieve the required standard after the first attempt, you can re-take the assessment until a successful outcome is achieved.
Course assessment
