MAT 16B videos created by AATC Math Specialists

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Calculus, and Applied Approach, 9th Ed.


Larson | Edwards

Chapter 4 - Exponential and Logarithmic Functions

4.1 and 4.2 - Exponential Functions and Graphs

4.3 - Derivatives of Exponential Functions

4.4 - Logarithmic Functions

4.5 - Derivatives of Logarithmic Functions

4.6 - Exponential Growth and Decay

Chapter 5 - Integration and Applications

5.1 - Antiderivatives and Indefinite Integrals

5.2 - General Power Rule for Integrals

5.3 - Exponential and Logarithmic Integrals

5.4 - Definite Integrals and the Fundamental Theorem of Calculus (FTC)

5.5 - Area Between curves

5.7 - Volumes of Solids by Disc/Washer Method

Chapter 6 - Techniques of Integration (may be taught out of order)

6.1 - Integration by u-sub

6.2 - Integration by Parts (IBP)

6.3 - Rational Integrals: Long Division and Partial Fractions

6.4 - Using Integration Tables (often not covered in MAT16B)

6.5 - Trapezoid and Simpson's Rule (often taught out of order)

6.6 - Improper Integrals

Chapter 8 - Trigonometry (taught throughout MAT16A and 16B)

8.1 through 8.4 - topics are covered in MAT16A

8.5 - Integration of Trig Functions

Chapter 9 - Probability and Calculus

9.1 - Discrete Probability and Counting

9.2 - Continuous Random Variables

9.3 - Mean, Median, Expected Value, Variance, and Continuous Distributions

Things that are not on the 16B syllabus