Foster W.

University of Michigan - Ann Arbor

Biography

Hi there, I'm Foster, a senior studying math and physics education at the University of Michigan. My favorite part about teaching is helping students understand the intuition behind what they are doing in class--because when students know the "why" about what they are doing, it helps them truly understand the material. I specialize in teaching calculus and test prep

Education

BS Secondary Education

University of Michigan - Ann Arbor

Topics Covered

Descriptive Statistics

Probability Topics

Discrete Random Variables

Continuous Random Variables

Integrals

Integration

Applications of Integration

Sampling and Data

Confidence Intervals

Parametric Equations

Polar Coordinates

Vector Functions

Limits

Derivatives

Continuous Functions

Differentiation

Integration Techniques

Trigonometry

Introduction to Vectors

Area and Perimeter

Equations and Inequalities

Systems of Equations and Inequalities

Matrices

Introduction to Matrices

Functions

Multiple Integrals

Quadratic Functions

Complex Numbers

Polynomials

Series Tests

Vectors

Partial Derivatives

Functions of Several Variables

Vector Calculus

Introduction to Conic Sections

Introduction to Trigonometry

Applications of the Derivative

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

Introduction to Algebra

Right Triangles

Similarity

Algebra Topics That are Reviewed at the Start of the Semester

Functions

Exponential and Logarithmic Functions

Trig Integrals

Series

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

The Normal Distribution

The Chi-Square Distribution

The Central limit Theorem

Exponents and Polynomials

Rational Functions

Angles

Hypothesis Testing

Foster's Textbook Answer Videos

03:07

Calculus: Early Transcendentals

Use the indicated entry in the Table of Integrals on the Reference Pages to evaluate the integral.

$ \displaystyle \int_0^{\frac{\pi}{2}} \cos 5x \cos 2x\ dx $ ; entry 80

Chapter 7: Techniques of Integration

Section 6: Integration Using Tables and Computer Algebra Systems

01:53

Calculus: Early Transcendentals

Use the indicated entry in the Table of Integrals on the Reference Pages to evaluate the integral.

$ \displaystyle \int_0^1 \sqrt{x - x^2}\ dx $ ; entry 113

Chapter 7: Techniques of Integration

Section 6: Integration Using Tables and Computer Algebra Systems

04:18

Calculus: Early Transcendentals

Use the indicated entry in the Table of Integrals on the Reference Pages to evaluate the integral.

$ \displaystyle \int_1^2 \sqrt{4x^2 - 3}\ dx $ ; entry 39

Chapter 7: Techniques of Integration

Section 6: Integration Using Tables and Computer Algebra Systems

05:08

Calculus: Early Transcendentals

Use the indicated entry in the Table of Integrals on the Reference Pages to evaluate the integral.

$ \displaystyle \int_0^1 \tan^3 \left (\frac{\pi x}{6} \right)\ dx $ ; entry 69

Chapter 7: Techniques of Integration

Section 6: Integration Using Tables and Computer Algebra Systems

04:04

Calculus: Early Transcendentals

Use the Table of Integrals on Reference Pages 6-10 to evaluate the integral.

$ \displaystyle \int_0^{\frac{\pi}{8}} \arctan 2x\ dx $

Chapter 7: Techniques of Integration

Section 6: Integration Using Tables and Computer Algebra Systems

02:42

Calculus: Early Transcendentals

Use the Table of Integrals on Reference Pages 6-10 to evaluate the integral.

$ \displaystyle \int_0^2 x^2 \sqrt{4 - x^2}\ dx $

Chapter 7: Techniques of Integration

Section 6: Integration Using Tables and Computer Algebra Systems

1 2 3 4 5 ... 410