### Jacob M.

Senior**Q Specialties**:

**Primary:**Math

**Major(s)**: Biological Sciences (CLAS)

### Topics by Course

##### MATH1131Q - Calculus I

Antiderivatives

Calculating Limits with Limit Laws

Chain Rule

Concavity

Continuity

Derivative as a Function

Derivatives

Derivatives of Logarithmic Functions

Derivatives of Polynomial and Exponential Functions

Derivatives of Trig Functions

Exponential Functions

Exponential Growth and Decay

Fundamental Theorem of Calculus

Horizontal Asymptotes

How Derivatives Affect the Shape of a Graph

Implicit Differentiation

Indefinite Integrals

Indeterminate Forms

Inverse Functions

L'Hopital's Rule

Limit of a Function

Limits at Infinity

Linear Approximations and Differentials

Logarithmic Functions

Mathematical Models

Minimum/Maximum Problems

Net Change Theorem

New Functions from Old Functions

Optimization

Points of Inflection

Precise Definition of a Limit

Rates of Change

Related Rates

Representing Functions

Riemann Sums

Substitution Rule

Tangent and Velocity Problems

The Definite Integral

##### MATH1132Q - Calculus II

Absolute Convergence

Alternating Series

Application of Calculus to Physics and Engineering

Applications of Taylor Polynomials

Approximate Integration

Arc Length

Area Between Curves

Area in Polar Coordinates

Calculus with Parametric Curves

Comparison Test

Curves Defined By Parametric Equations

Direction Fields

Improper Integrals

Integral Test

Integration By Parts

Modeling with Differential Equations

Partial Fractions

Polar Coordinates

Power Series

Probability

Ratio Test

Representing Functions as Power Series

Riemann Sums

Separable Equations

Sequences

Series

Taylor/Maclaurin Series

Volumes (Integration)

Work (Integration)