### Ruijie Y.

Junior**Q Specialties**:

**Primary:**Math

**Secondary:**Chemistry, Physics, Statistics

**Major(s)**: Mathematics (CLAS), Computer Science and Engineering (ENGR)

- Sunday: 1:00pm - 3:00pm 3:00pm - 5:00pm 7:00pm - 9:00pm 9:00pm - 11:00pm

**Schedule**Fall 2019 (Regular)

### Topics by Course

##### CHEM1127Q - General Chemistry I

Acid/Base Titrations

Acids and Bases

Atomic Theory

Atoms, Molecules, Ions

Bonding Interactions

Calorimetry

Concentrations and Solutions

Dimensional Analysis

Electronic Structure and Periodic Table

Enthalpy

Equilibrium of Solutions

Freezing and Boiling Point

Gas Laws

Gases

Intermolecular Forces

Isotopes

Limiting Reactant, Theoretical Yield, Percent Yield

Liquid-Vapor Equilibrium

Liquids

Liquids and Solids

Measurements

Naming Species

Nomenclature

Precipitation

Redox Reactions

Significant Figures

Solids

Solubility

Solutions

Stoichiometry

Thermochemistry

Unit Conversions

##### MATH1011Q - Introductory College Algebra and Mathematical Modeling

Absolute Value

Algebraic Concepts

Exponential Functions

Logarithmic Functions

Mathematical Models of Lines

Polynomials

Rational Functions

Systems of Equations

##### MATH1020Q - Problem Solving

Externalization

Lateral Thinking

Problem Solving Strategies

Simplification

Trial and Error

Visualization

##### MATH1030Q - Elementary Discrete Mathematics

Apportionment Methods

Combinatorics

Counting

Deductive Reasoning

Elementary Cryptography

Finite Geometries

Graph Theory

Number Systems

Number Theory

Probability

The Axiomatic Method

Voter Models

##### MATH1040Q - Elementary Mathematical Modeling

Algebraic Functions

Graphical Relationships

Numerical Relationships

Symbolic Relationships

Trigonometric Functions

##### MATH1050Q - Mathematical Modeling in the Environment

##### 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

##### MATH1070Q - Mathematics for Business and Economics

Algebra

Basic Linear Systems and Matrices

Basic Probability Theory

Combinatorics

Exponential and Logarithmic Functions

Financial Mathematics

Linear Programming

Optimization

##### MATH1071Q - Calculus for Business and Economics

Algebra

Compound Interest

Exponential Functions

Exponential Growth and Decay

Financial Mathematics

Logarithmic Functions

##### MATH1110Q - A Survey of Calculus with Applications I

Applications of Differentiation

Applications of Integration

Compound Interest

Exponential Growth and Decay

Limits and Continuity

Marginal Functions

Minimum/Maximum Problems

##### 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)

##### MATH2110Q - Multivariable Calculus

Calculating Surface Area and Volume with Integrals

Geometry for Multivariable Calculus (Vectors/Lines/Planes/Quadrics)

Integral Theorems (Stokes, Gauss, Green, Divergence)

Lagrange Multipliers

Limits and Continuity

Minimum/Maximum Problems

Parametric Equations

Partial Derivatives and Gradients

Vectors in 3 Dimensions

##### MATH2130Q - Honors Multivariable Calculus

Calculating Surface Area and Volume with Integrals

Geometry for Multivariable Calculus (Vectors/Lines/Planes/Quadrics)

Integral Theorems (Stokes, Gauss, Green, Divergence)

Lagrange Multipliers

Limits and Continuity

Minimum/Maximum Problems

Parametric Equations

Partial Derivatives and Gradients

Vectors in 3 Dimensions

##### MATH2210Q - Applied Linear Algebra

Applications of Linear Algebra

Basic Linear Systems and Matrices

Cramer's Rule

Determinant of a Matrix

Dot Product

Existence and Uniqueness of Solutions (Linear Equations)

Finding the Inverse of a Square Matrix

Gram-Schmidt Process

Linear Equations

Lines and Planes

One-to-one Functions

Onto Functions

Row Reduction (Gaussian Elimination)

Systems of Equations

Vector Spaces

Vector Subspaces

##### MATH2410Q - Elementary Differential Equations

Damped Motion

Elementary Differential Equations

Euler's Method

Existence and Uniqueness of Solutions (Differential Equations)

Impulses

Integrating Factors

Laplace Transforms

Oscillating Motion

Phase Portraits

Resonance

Separation of Variables

Slope Fields

##### MATHOTHER - Other

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

Basic Linear Systems and Matrices

Basic Probability Theory

Basic Trig Functions

Elementary Differential Equations

Exponential and Logarithmic Functions

Financial Mathematics

Functions

Math Proof Writing

Polynomials

Review Material in a Prerequisite Course

The Unit Circle

Trigonometry

##### PHYS1201Q - General Physics I

Absolute Value

Angular Momentum

Energy

Fluid Statics and Dynamics

Forces

Linear Kinematics

Momentum and Collisions

Rotational Kinematics

Simple Harmonic Motion

Thermodynamics

Torque

Waves

Work

##### PHYS1202Q - General Physics II

AC Circuits

Ampere's Law

Atoms and Molecules

Capacitors

DC Circuits

Electric Field

Electric Force

Electric Potential

EM Waves

Energy

Faraday's Law

Gauss' Law

Inductance

Interference and Diffraction

Lenz's Law

Magnetic Fields

Magnetic Force

Magnetic Torque

Optics

Quantum Mechanics

RLC Circuits

##### PHYS1401Q - General Physics with Calculus I

Angular Momentum

Energy

Fluid Statics and Dynamics

Forces

Linear Kinematics

Momentum and Collisions

Rotational Kinematics

Simple Harmonic Motion

Thermodynamics

Thermodynamics (Advanced)

Torque

Waves

Work

##### PHYS1402Q - General Physics with Calculus II

AC Circuits

Ampere's Law

Atoms and Molecules

Capacitors

DC Circuits

Electric Field

Electric Force

Electric Potential

EM Waves

Energy

Faraday's Law

Gauss' Law

Inductance

Interference and Diffraction

Lenz's Law

Magnetic Fields

Magnetic Force

Magnetic Torque

Optics

Quantum Mechanics

RLC Circuits

##### PHYS1501Q - Physics for Engineers I

Angular Momentum

Energy

Fluid Statics and Dynamics

Linear Kinematics

Momentum and Collisions

Rotational Kinematics

Simple Harmonic Motion

Thermodynamics

Thermodynamics (Advanced)

Torque

Waves

Work

##### PHYS1502Q - Physics for Engineers II

AC Circuits

Ampere's Law

Atoms and Molecules

Capacitors

DC Circuits

Electric Field

Electric Force

Electric Potential

EM Waves

Energy

Faraday's Law

Gauss' Law

Inductance

Interference and Diffraction

Lenz's Law

Magnetic Fields

Magnetic Force

Magnetic Torque

Optics

Quantum Mechanics

RLC Circuits

##### STAT1000Q - Introduction to Statistics I

Binomial Random Variables

Confidence Intervals

Correlation and Regression

Diagrams (Pie Chart, Stem and Leaf Plot, Histogram)

Finding Sample Size

Hypothesis Testing

Normal Random Variables

Quartiles, Empirical Rule and Chebyshev's Inequality

Sampling Distribution and Central Limit Theorem

Uniform Random Variables