MAT17A videos created by AATC Math Specialists
Skip to videos from a section of the MAT17A Textbook
or check out the YouTube playlists for MAT17A from Grant
Videos recorded by AATC Math Specialists: Grant Acosta, Claire Davis, Sara Hawkes, and James Parmenter. For more resources from these math specialists, check out their websites:
Grant:
https://sites.google.com/a/ucdavis.edu/acostagrant/homeBiocalculus: Calculus, Probability, and Statistics for the Life Sciences, 1st Edition
James Stewart | Troy DayISBN-10: 1305114035 | ISBN-13: 9781305114036 © 2016
Chapter 1 - Functions and Sequences
Chapter 1 - Functions and Sequences
1.1 - Reading graphs, Difference Quotient, and Domain
1.1 - Reading graphs, Difference Quotient, and Domain
1.2 - Parent graphs and functions
1.2 - Parent graphs and functions
1.3 - Shifting, stretching, reflecting, and manipulating functions
1.3 - Shifting, stretching, reflecting, and manipulating functions
1.4 - Exponential functions
1.4 - Exponential functions
1.5 - Logarithms, and graphing with Log-Log and Semi-Log plots
1.5 - Logarithms, and graphing with Log-Log and Semi-Log plots
1.6 - Sequences and Difference Equations (recursive functions)
1.6 - Sequences and Difference Equations (recursive functions)
Chapter 2 - Limits
Chapter 2 - Limits
2.1 - Limits of sequences
2.1 - Limits of sequences
2.2 - Limits of sequences and functions as x approaches infinity
2.2 - Limits of sequences and functions as x approaches infinity
2.3 - Limit of a function as x approaches a number
2.3 - Limit of a function as x approaches a number
2.4 - Limits using algebra
2.4 - Limits using algebra
2.5 - Continuity
2.5 - Continuity
Chapter 3 - Derivatives
Chapter 3 - Derivatives
3.1 - Average Rate of Change and Instantaneous Rate of Change
3.1 - Average Rate of Change and Instantaneous Rate of Change
3.2 - Derivative as a function and slope of a tangent line
3.2 - Derivative as a function and slope of a tangent line
3.3 - Power Rule for derivatives and derivatives for sine and cosine
3.3 - Power Rule for derivatives and derivatives for sine and cosine
3.4 - Product and Quotient Rules and Derivatives of other trig functions
3.4 - Product and Quotient Rules and Derivatives of other trig functions
3.5 - Chain Rule, Implicit Differentiation, and Related Rates
3.5 - Chain Rule, Implicit Differentiation, and Related Rates
3.6 - Exponential Growth and Decay, Half-Life, and Newton's Law of Cooling
3.6 - Exponential Growth and Decay, Half-Life, and Newton's Law of Cooling
3.7 - Derivatives of Logarithmic functions, Logarithmic Differentiation, and Inverse tangent (arctanx)
3.7 - Derivatives of Logarithmic functions, Logarithmic Differentiation, and Inverse tangent (arctanx)
3.8 - Linear Approximations, Newton's Method, and Taylor Polynomials
3.8 - Linear Approximations, Newton's Method, and Taylor Polynomials
Chapter 4 - Applications of Derivatives
Chapter 4 - Applications of Derivatives
4.1 - Absolute Maximum and Minimum
4.1 - Absolute Maximum and Minimum
4.2 - Graphing with Derivatives (inc/dec and concavity) and Mean Value Theorem (MVT)
4.2 - Graphing with Derivatives (inc/dec and concavity) and Mean Value Theorem (MVT)
4.3 - L'Hôpital's Rule
4.3 - L'Hôpital's Rule
4.4 - Optimization (word problems)
4.4 - Optimization (word problems)
4.5 - Stability of Equilibria for Recursions: Cobwebbing and Stability Criterion
4.5 - Stability of Equilibria for Recursions: Cobwebbing and Stability Criterion
4.6 - Anti-Derivatives
4.6 - Anti-Derivatives
Please see the MAT 17B page for videos on section 4.6.