The Ultimate CLEP Calculus Course: A Comprehensive Review
Master CLEP with Ease! Immerse yourself in comprehensive concepts simplified through clear explanations, engaging visuals, and practical exercises. Build a solid foundation for future success in this field!
Calculus, a cornerstone of mathematics, deals with rates of change (differentiation) and accumulation of quantities (integration). For CLEP, the Calculus exam features 44 questions to be completed in 90 minutes, covering limits, derivatives, integrals, and applications. It’s challenging due to its abstract concepts and problem-solving demands. Scoring is on a scale of 20-80, with a passing score typically around 50. Mastering calculus is crucial for STEM fields and enhances analytical skills. CLEP Calculus is respected, allowing students to earn college credit and save on tuition. It’s ranked among the more difficult CLEP tests, but rewarding for dedicated learners.
AP Calculus AB and BC are more comprehensive and rigorous than CLEP Calculus, with broader content and longer exam formats.
The Absolute Best Book to Ace Calculus
CLEP Calculus Complete Course
Functions
- Function Notation
- Adding and Subtracting Functions
- Multiplying and Dividing Functions
- Composition of Functions
- Writing Functions
- Graphing Functions
- Parent Functions
- Function Inverses
- Inverse Variation
- Domain and Range of function
- Piecewise Function
- Positive, Negative, Increasing and Decreasing Functions on Intervals
Advanced Functions
- Exponential Function
- Linear, Quadratic and Exponential Models
- Linear vs Exponential Growth
- Logarithms
- Properties of logarithms
- Natural Logarithms
- Sine, Cosine, and Tangent
- Reciprocal Functions: Cosecant, Secant, and Cotangent
- Domain and Range of Trigonometric Functions
- Trigonometric Function Values for Key Angles
- The Unit Circle
- Additional trigonometric reminders
- Periodic properties of trigonometric functions
- Floor and Ceiling Functions
Limit and Continuity
- Functions with Undefined Limits
- Limit at Infinity
- Continuity at a Point
- Continuity over an Interval
- Removing Discontinuity
- Limit Laws
- The Squeeze Theorem
- Indeterminate and Undefined
- Infinity Cases
- Trigonometric Limits
- Rationalizing Trigonometric Functions
- Redefining Function’s Value
- Rationalizing Infinite Limits
Derivative Basics
- Derivative Introduction
- Average and Instantaneous Rates of Change
- The Derivative of a Function
- Derivative of Trigonometric Functions
- Power Rule
- Product Rule
- Quotient Rule
- Chain Rule
- Derivative of Radicals
- Derivative of Logarithms and Exponential Functions
- Differentiability
- Differentiating Inverse Functions
- Derivative of Reciprocal Trigonometric Functions
Applications of Derivatives
- Optimization Problems
- L’Hôpital
- Implicit Relations
- Implicit Differentiation
- Related Rates
- Higher Order Derivatives
- Extreme Value Theorem
- Second Derivatives: Minimum vs. Maximum
- Curve Sketching Using Derivatives
- Mean Value Theorem
- Newton’s Method
Integrals
- What is Integral?
- Applications of Integrals
- Exponential Growth and Decay
- The Anti-Derivative
- Sigma Notation (Summation Notation)
- Riemann Sums
- Rules of Integration
- Power Rule
- Fundamental Theorem of Calculus
- Trigonometric Integrals
- Substitution Rule
- Integral of Radicals
- Exponential and Logarithmic Integrals
Applications of Integrals
Related to This Article
More math articles
- The Best ALEKS Math Worksheets: FREE & Printable
- The Ultimate Common Core Algebra 1 Course (+FREE Worksheets)
- 5th Grade SBAC Math Worksheets: FREE & Printable
- Visualizing Multiplication: How to Use Arrays to Multiply Fractions by Whole Numbers
- The Ultimate CBEST Math Formula Cheat Sheet
- 5th Grade FSA Math FREE Sample Practice Questions
- Objects on a Coordinate Plane
- 8 Ways to Get Your Kids To Love Math
- Overview of the AFOQT Mathematics Test
- TASC Math Test-Taking Strategies
What people say about "The Ultimate CLEP Calculus Course: A Comprehensive Review - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.