Calculus Exam Review (Absolute Extrema and Integration): MATH 142Examples finding absolute maximums, antiderivatives, and definite integrals

Integration by Substitution: MATH 171 Problems 4-6Using u substitution to evaluate integrals and prove facts about logarithms and integrals and

Review for the Common Exam: MATH 152 Exam 1 Review Problems 29-33Review of trigonometric substitution

Trigonometric Substitution: MATH 152 Problems 6 & 7Review of integration using a trigonometric substitution

Review for the Common Exam: MATH 152 Exam 1 Review Problems 29-33Review of trigonometric substitution

Trigonometric Substitution: MATH 152 Problems 6 & 7Review of integration using trigonometric substitution

Calculus Exam Review (Application Problems with Integrals): MATH 142Using integrals to solve application problems

Calculus Exam Review (Integration II): MATH 142Review examples covering Riemann Sums and definite integrals

More Application Problems Using Integrals: MATH 142Solving more application problems using definite integrals

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18Review of Taylor and Maclaurin Series and their properties

Volume (Disks, Washers, and by Slicing): MATH 152 Problems 2 & 3Examples finding a volume using disks, washers, and by slicing

Volume (the Disk, Washer, and Shell Methods): MATH 152 Problem 1(a-e) Using the disk, washer, and shell method to find a volume of revolution

Volume (the Disk, Washer, and Shell Methods): MATH 152 Problems 1(f-i) & 2Finding volume using using disks, washers and the shell method

Integration by Partial Fractions: MATH 152 Problem 11Using the method of partial fractions to integrate rational functions

Integration by Partial Fractions: MATH 152 Problems 12 & 13Using the method of partial fractions to integrate rational functions

Improper Integrals: MATH 152 Problems 4 & 5Determining divergence or convergence of improper integrals

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Riemann Sums and Definite Integrals: MATH 151 Problems 6-12Using Reimann sums and the Fundamental Theorem of Calculus

Review for the Common Exam: MATH 152 Exam 3 Review Problems 13-18Review of Taylor and Maclaurin Series and their properties

Volume (Disks, Washers, and by Slicing): MATH 152 Problems 2 & 3Examples finding a volume using disks, washers, and by slicing

Volume (the Disk, Washer, and Shell Methods): MATH 152 Problem 1(a-e) Using the disk, washer, and shell method to find a volume of revolution

Volume (the Disk, Washer, and Shell Methods): MATH 152 Problems 1(f-i) & 2Finding volume using using disks, washers and the shell method

Integration by Partial Fractions: MATH 152 Problem 11Using the method of partial fractions to integrate rational functions

Integration by Partial Fractions: MATH 152 Problems 12 & 13Using the method of partial fractions to integrate rational functions

Improper Integrals: MATH 152 Problems 4 & 5Determining divergence or convergence of improper integrals

MLC WIR 20B M151 week10 #21Evaluating a definite integral by interpreting it as an area and using geometry

MLC WIR 20B M151 week10 #22Using the Fundamental Theorem of Calculus to find the derivative of a function defined using an integral

MLC WIR 20B M151 week10 #23aEvaluating an indefinite integral by simplifying a fraction to powers of x

WIR8 20B M251 V11Using the Fundamental Theorem of Line Integrals to evaluate a line integral of a vector field

WIR8 20B M251 V12Using the Fundamental Theorem of Line Integrals to evaluate a line integral of a vector field

WIR8 20B M251 V13Using the Fundamental Theorem of Line Integrals to evaluate a line integral of a vector field

WIR10 20B M251 V7Using Stokes' Theorem to express a surface integral of the curl of a vector field as a single integral

Calculating Work in Python: Pumping Liquid from a TankVideo 24 in a series of Python instructional videos

Approximating Definite Integrals with Riemann Sums in PythonUsing Python to approximate a definite integral using left endpoint Riemann sums

Areas Between Curves in PythonUsing Python to identify the region between curves and then evaluate the area of the region

Fundamental Theorem of Calculus: MATH 171 Problems 1-3Proving and then applying the Fundamental Theorem of Calculus

Fundamental Theorem of Calculus and u-Substitution: MATH 172 Problems 4-7Proving the Fundamental Theorem of Calculus and examples of u Substitution

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Review for the Common Exam: MATH 152 Exam 3 Review Problems 10-13Review of power series properties and writing functions as power series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Volume of a Solid: MATH 172 Problems 4-6Using the disk and washer method to calculate the volume of rotational solids

Cylindrical Shell Method: MATH 172 Problems 1-3Using cylindrical shells to calculate the volume of a rotational solid

Calculating Work Using Integrals: MATH 172 Problems 4 & 5Using integrals to calculate work done in physics examples

Work and Average Value: MATH 152 Problems 1-9Using integrals to solve work problems and find the average value

Average Value of a Function: MATH 172 Problems 6-8Calculating the average value of a function and proving the Mean Value Theorem for Integrals

Work and Average Value: MATH 152 Problems 1-9Using integrals to solve work problems and find the average value

Integration by Parts: MATH 172 Problems 1 & 2Proving the formula for integration by parts and a reduction formula

Proving Trigonometric Identities: MATH 172 Problems 3 & 4Proving trigonometric identities useful for integration

Integration Using Partial Fractions: MATH 172 Problems 8 & 9 Finding a partial fraction decomposition and integrating using partial fractions

Arc Length of a Curve: MATH 172 Problems 3 & 4Deriving and using the formula for the arc length of a curve

Hydrostatic Force: MATH 172 Problems 6 & 7Using Riemann Sums and Integrals to calculate hydrostatic force

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Review for the Common Exam: MATH 152 Exam 3 Review Problems 10-13Review of power series properties and writing functions as power series

Review for the Common Exam: MATH 152 Exam 3 Review Problems 4 & 5Review of using tests to determine if a series is absolutely convergent, convergent, and divergent

Work and Average Value: MATH 152 Problems 1-9Using integrals to solve work problems and find the average value

MLC WIR 20B M151 week9 #13Using a limit of Riemann sums to write an expression for the area under a graph

MLC WIR 20B M151 week9 #14aEvaluating a definite integral by using geometry to find the area under the curve

MLC WIR 20B M151 week9 #14bEvaluating a definite integral by using geometry to find the area under the curve

Creating and Manipulating Symbolic Expressions in PythonCreating symbolic expression in Python and then factoring, expanding, and simplifying the expressions

Solving Equations Symbolically in PythonSolving equations symbolically in Python and interpreting the results

Plotting Expressions and Solving Equations Numerically in PythonVideo 5 in a series of Python instructional videos

List Comprehension and Numerical, Graphical, and Symbolic Limits in PythonUsing Python to numerically estimate a limit, graphically estimate a limit, and find the exact limit

Finding Derivatives in PythonFinding derivatives in Python and solving for the rate of change of a force

Word Problems and the Algorithmic Process for Multistep Problem Solving in PythonSolving a multistep word problem in Python and graphing the resulting function

Simplifying Difference Quotients in PythonUsing Python to simplify a difference quotient and find a derivative using the limit definition

Finding and Graphing Tangent Lines to a Curve in PythonUsing Python to find the equation of the tangent line to a curve and graphing the result

Finding Horizontal Tangent Lines in PythonFinding when the tangent line to a function is horizontal in Python

List Comprehension and Patterns in Higher Derivatives in PythonUsing Python's list comprehension tool to find several higher order derivatives of a function at once

Implicit Plots and Implicit Differentiation in PythonUsing Python to plot an implicit curve and find a tangent line using implicit differentiation

Parametric Plots and Tangents at a Given t-value in PythonUsing Python to find the tangent line to a parametric equation and plot the two graphs

Tangents to Parametrized Curves at a Given Point in PythonVideo 17 in a series of Python instructional videos

Finding Absolute (Global) Extrema in PythonUsing Python to find the absolute maximum and minimum of a function on a closed interval

Finding Intervals of Increase/Decrease and Concavity in PythonUsing Python to find the intervals where a function is increasing or decreasing

Generating and Plotting Sequences in PythonUsing Python to numerically, graphically, and analytically find the limit of a sequence

Generating and Plotting Partials Sums of a Series in PythonUsing Python to calculate the partial sums of a series to estimate the value of the series

For Loops and Recursive Sequences in PythonUsing for loops in Python to generate a recursively defined sequence

Radius and Interval of Convergence in PythonUsing Python to find the radius and interval of convergence of a power series with the Ratio Test

Plotting a Function and Partial Sums of its Power Series in PythonVideo 29 in a series of Python instructional videos