### Katherine A.

Junior**Q Specialties**:

**Primary:**Math

**Major(s)**: Biomedial Engineering (ENGR)

### Topics by Course

##### MATH1060Q - Precalculus

Absolute Value Functions

Algebra Review (fractions, factoring, simplification, etc.)

Applications of Trigonometry (Periodic Motion)

Applications of Trigonometry (Triangles)

Basic Trig Functions

Exponential Functions

Exponential Growth and Decay

Function Composition

Functions

Graphs of Trigonometric Functions

Introduction to Periodic Motion

Inverse Functions

Inverse Trig Equations

Linear Functions

Lines and Planes

Logarithmic Functions

Modeling With Functions

Polynomial Long Division

Polynomials

Quadratic Functions

Rational Functions

Solving Trig Equations

Square Root Functions

The Unit Circle

Trigonometric Identities

Trigonometry

##### 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)

##### MATH1151Q - Honors Calculus I

Antiderivatives

Calculating Limits with Limit Laws

Chain Rule

Continuity

Derivatives

Derivatives of Logarithmic Functions

Derivatives of Polynomial and Exponential Functions

Derivatives of Trig Functions

Epsilon-Delta Calculations

Fundamental Theorem of Calculus

Implicit Differentiation

Indefinite Integrals

Indeterminate Forms

L'Hopital's Rule

Limit of a Function

Limits and Continuity

Minimum/Maximum Problems

Optimization

Precise Definition of a Limit

Substitution Rule

Tangent and Velocity Problems

##### MATH1152Q - Honors Calculus II

Absolute Convergence

Alternating Series

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

Improper Integrals

Integral Test

Integration By Parts

Partial Fractions

Polar Coordinates

Power Series

Ratio Test

Representing Functions as Power Series

Separable Equations

Sequences

Series

Taylor/Maclaurin Series

Volumes (Integration)

Work (Integration)