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

Integrals
Integration
Applications of Integration
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
Right Triangles
Similarity
Algebra Topics That are Reviewed at the Start of the Semester
Discrete Random Variables
Functions
Exponential and Logarithmic Functions
Trig Integrals
Series
Introduction to Sequences and Series
Introduction to Combinatorics and Probability
The Central limit Theorem
The Normal Distribution
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
Foster W.
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
Foster W.
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
Foster W.
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
Foster W.
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
Foster W.
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
Foster W.
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