MAT17B videos created by AATC Math Specialists
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Videos recorded by AATC Math Specialists: Grant Acosta, Claire Davis, and Sara Hawkes. For more resources from these math specialists, check out their websites:
Grant:
https://sites.google.com/a/ucdavis.edu/acostagrant/homeClaire:
https://sites.google.com/ucdavis.edu/clairedavis/Sara:
https://sites.google.com/ucdavis.edu/aat-saraBiocalculus: Calculus, Probability, and Statistics for the Life Sciences, 1st Edition
James Stewart | Troy DayISBN-10: 1305114035 | ISBN-13: 9781305114036 © 2016
Chapter 4.6 - Antiderivatives
Chapter 4.6 - Antiderivatives
Chapter 5
Chapter 5
5.1 and 5.2 - Areas using rectangles and the definition of the definite integral
5.1 and 5.2 - Areas using rectangles and the definition of the definite integral
5.3 - Fundamental Theorem of Calculus
5.3 - Fundamental Theorem of Calculus
5.4 - Methods of Integration: u-substitution (usub)
5.4 - Methods of Integration: u-substitution (usub)
5.5 - Methods of Integration: integration by parts (IBP)
5.5 - Methods of Integration: integration by parts (IBP)
5.6 - Methods of Integration: long division and partial fractions
5.6 - Methods of Integration: long division and partial fractions
5.8 - Improper Integrals: discontinuities and infinite bounds
5.8 - Improper Integrals: discontinuities and infinite bounds
Chapter 6 - Applications of Integration
Chapter 6 - Applications of Integration
6.1 - Area between curves
6.1 - Area between curves
6.2 - Average Value
6.2 - Average Value
6.3 - Biology Models involving integration
6.3 - Biology Models involving integration
6.4 - Volumes of revolution
6.4 - Volumes of revolution
6.4 - Volumes with sliced cross-sections
6.4 - Volumes with sliced cross-sections
Chapter 7 - An Introduction to Differential Equations
Chapter 7 - An Introduction to Differential Equations
7.1 and 7.2 - Modeling with Differential Equations and Stability of Equilibria
7.1 and 7.2 - Modeling with Differential Equations and Stability of Equilibria
7.3 - Euler's Method and Direction Fields
7.3 - Euler's Method and Direction Fields
7.4 - Solving Separable Differential Equations
7.4 - Solving Separable Differential Equations
FOLDE - First Order Linear Differential Equations Solved with Integrating Factors (not in the textbook)
FOLDE - First Order Linear Differential Equations Solved with Integrating Factors (not in the textbook)
Chapter 8: Vector and Matrices
Chapter 8: Vector and Matrices
8.1 - 3-dimensional space
8.1 - 3-dimensional space
8.2 - Vectors basics
8.2 - Vectors basics
8.3 - Dot product applications: angles between vectors, equations of planes, projections
8.3 - Dot product applications: angles between vectors, equations of planes, projections
8.4 - Matrix Algebra (adding, and multiplying matrices)
8.4 - Matrix Algebra (adding, and multiplying matrices)
8.5 - Matrices and Dynamics of Vectors (iterated population models)
8.5 - Matrices and Dynamics of Vectors (iterated population models)
8.6 - Systems of linear equations, inverse and determinants of matrices
8.6 - Systems of linear equations, inverse and determinants of matrices
8.7 - Matrix as a Linear Transformation and Eigenvectors and Eigenvalues
8.7 - Matrix as a Linear Transformation and Eigenvectors and Eigenvalues
8.8 - Iterated Matrices, including long-term Leslie matrix solutions
8.8 - Iterated Matrices, including long-term Leslie matrix solutions