Calculus Exam Review (Derivatives and Approximate Profit): MATH 142Examples of finding derivatives and calculating approximate profit

Derivatives Involving Exponentials and Logarithms: MATH 142Examples of differentiating exponential and logarithmic functions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7Derivatives of exponential functions and the exponential model

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19Mean Value Theorem and using derivatives to find the shape of curves

Differentiation and Applications: MATH 151 Problems 1-8Derivatives of exponential and logarithmic functions and the exponential model

Derivatives of Logarithmic Functions: MATH 171 Problems 7-9Proving facts about logarithms and exponentials including the derivative of an exponential with an arbitrary base

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

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

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7Derivatives of exponential functions and the exponential model

Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19Mean Value Theorem and using derivatives to find the shape of curves

Differentiation and Applications: MATH 151 Problems 1-8Derivatives of exponential and logarithmic functions and the exponential model

Differentiation and Applications: MATH 151 Problems 1-8Derivatives of exponential and logarithmic functions and the exponential model

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

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

MLC WIR 20B M151 week6 #1ghUsing the Product and Chain Rules to differentiate functions with logarithms

MLC WIR 20B M151 week6 #1ijDifferentiating functions with logarithmic and inverse trigonometric functions

MLC WIR 20B M151 week8 #6Using antidifferentiation to find the height of a cliff from the impact speed of a dropped stone

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

Calculus Exam Review (Limits at Infinity with Exponentials): MATH 142Examples of calculating infinite limits with exponentials in a rational function

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

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

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30Antiderivatives and physics applications

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Exponentials and Hyperbolic Trigonometric Functions: MATH 171 Problems 3 & 4Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Derivatives of Logarithmic Functions: MATH 171 Problems 1-3Proving the derivative of ln(x) and the power and product rules using logarithmic differentiation

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6Mean Value Theorem and properties of a graph

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 3 Review Problem 6Review of estimating the sum of a series and the remainder

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 2 Review Problems 8 & 9Review of improper integrals and the Comparison Theorem

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 13-18Review of Taylor and Maclaurin Series and their properties

Review for the Common Exam: MATH 152 Exam 3 Review Problems 19 & 20Review of Taylor Polynomials and Taylor's Inequality

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

Representations of Functions as Power Series: MATH 152 Problems 2 & 3Finding power series representations for functions and the radius and interval of convergence of the power series

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 Problems 12 & 13Using the method of partial fractions to integrate rational functions

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

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

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15Review of limits and derivatives of inverse trigonometric functions

Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30Antiderivatives and physics applications

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Approximations and Exponentials: MATH 151 Problems 7-14Approximation and Newton's Method, and limits and derivatives of exponential functions

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6Mean Value Theorem and properties of a graph

Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6Mean Value Theorem and properties of a graph

Review for the Common Exam: MATH 152 Exam 3 Review Problem 6Review of estimating the sum of a series and the remainder

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 2 Review Problems 8 & 9Review of improper integrals and the Comparison Theorem

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 13-18Review of Taylor and Maclaurin Series and their properties

Review for the Common Exam: MATH 152 Exam 3 Review Problems 19 & 20Review of Taylor Polynomials and Taylor's Inequality

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

Representations of Functions as Power Series: MATH 152 Problems 2 & 3Finding power series representations for functions and the radius and interval of convergence of the power series

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 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

WIR 20B M152 V48Determining if a sequence is increasing, decreasing, or not monotonic and if it is bounded

WIR 20B M152 V69Determining if a series is absolutely convergent, conditionally convergent, or divergent.

WIR 20B M152 V70Determining if a series is absolutely convergent, conditionally convergent, or divergent.

MLC WIR 20B M151 week4 #1eDifferentiating a function with an exponential function and using the Power Rule

MLC WIR 20B M151 week4 #1mnUsing the Chain Rule to differentiate functions with exponential and trigonometric functions

MLC WIR 20B M151 week7 #2bFinding a number that satisfies the conclusion of the Mean Value Theorem on an interval

MLC WIR 20B M151 week7 #4fEvaluating a limit with an indeterminant difference using L'Hospital's Rule

MLC WIR 20B M151 week9 #10dFinding the antiderivative of a function and using a function value to find the contant

MLC WIR 20B M151 week10 #8dEvaluating the limit at negative infinity of a fraction with exponential functions

MLC WIR 20B M151 week10 #19cUsing L'Hospital's Rule to solve a limit with an indeterminant difference

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

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

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

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

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