Suzanne W.

Lamar University

Biography

I have a BS in Mathematics and a BS in Physics. I have been a private tutor for 8 years. I have also worked as a teaching assistant to college level physics courses and labs. I am able to explain concepts in a way that makes them relatable.

Education

BS Mathematics

Lamar University

Topics Covered

Electric Charge and Electric Field

Gauss's Law

Condensed Matter Physics

Magnetic Field and Magnetic Forces

Quantum Physics

Functions

Limits

Derivatives

Continuous Functions

Differentiation

Applications of the Derivative

Complex Numbers

Trigonometry

Integrals

Integration

Applications of Integration

Differential Equations

Introduction to Vectors

Graphs and Statistics

Whole which of Numbers

Polynomials

Exponential and Logarithmic Functions

The Language of Algebra

Fractions and Mixed Numbers

Ratio, Proportion, and Measurement

Equations and Inequalities

Systems of Equations and Inequalities

Introduction to Matrices

Introduction to Conic Section

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

Introduction to Trigonometry

Functions

Linear Functions

Quadratic Functions

Polar Coordinates

Probability Topics

Rational Functions

Area and Perimeter

Parametric Equations

Introduction to Conic Sections

Parallel and Perpendicular lines

Vectors

Vector Functions

Geometry Basics

Lines and Planes in Space

Exponents and Polynomials

Algebra Topics That are Reviewed at the Start of the Semester

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

Right Triangles

Angles

Circles

Series

Continuous Random Variables

An Introduction to Geometry

Descriptive Statistics

Polygons

Congruent Triangles

Relationships Within Triangles

Surface Area

Geometric Proof

Logic

Sequences and Series

Integration Techniques

Periodic Motion

Properties of Quadrilaterals

Similarity

Volume

Applications of Trigonometric Functions

Graphing Trigonometry Functions

Introduction to Algebra

Foundations for Geometry

Analysis of Graphs of Functions

Algebra and Trigonometry

Decimals

Factoring Polynomials

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Fluid Mechanics

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electromagnetic Waves

Reflection and Refraction of Light

Moment, Impulse, and Collisions

Kinetic Energy

Particle Physics

Atomic Physics

Relativity

Wave Optics

Mechanical Waves

Sound and Hearing

Spectroscopy

Physics Basics

The Laws of Motion

Work

Potential Energy

Gravitation

Electric Potential

Capacitance and Dielectrics

Energy Conservation

Nuclear Physics

Introduction and Vectors

Motion

Gravity, Planetary Orbits

Kinetic Theory Of Gases

Alternating Current

Inductance

Direct-Current Circuits

Suzanne's Textbook Answer Videos

Precalculus with Limits

Fill in the blanks.

The graph of a quadratic function is symmetric about its ________.

Chapter 2: Polynomial and Rational Functions

Section 1: Quadratic Functions and Models

Precalculus with Limits

In Exercises 13-16, graph each function. Compare the graph of each function with the graph of $ y = x^2 $.

(a) $ f(x) = -\frac{1}{2} (x - 2)^2 + 1 $
(b) $ g(x) = \left[\frac{1}{2} (x -1) \right]^2 - 3 $
(c) $ h(x) = -\frac{1}{2} (x +1)^2 - 1 $
(d) $ k(x) = [2(x + 1)]^2 +4 $

Chapter 2: Polynomial and Rational Functions

Section 1: Quadratic Functions and Models

Precalculus with Limits

In Exercises 17-34, sketch the graph of the quadratic function without using a graphing utility. Identify the vertex, axis of symmetry, and x-intercept(s).

$ f(x) = -\frac{1}{3} x^2 + 3x - 6 $

Chapter 2: Polynomial and Rational Functions

Section 1: Quadratic Functions and Models

Precalculus with Limits

In Exercises 47-56, write the standard form of the equation of the parabola that has the indicated vertex and whose graph passes through the given point.

Vertex: $ ( 4, -1 ) $; point: $ ( 2, 3 ) $

Chapter 2: Polynomial and Rational Functions

Section 1: Quadratic Functions and Models

Precalculus with Limits

A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals (see figure).

(a) Write the area $ A $ of the corrals as a function of $ x $.
(b) Create a table showing possible values of $ x $ and the corresponding areas of the corral. Use the table to estimate the dimensions that will produce the maximum enclosed area
(c) Use a graphing utility to graph the area function. Use the graph to approximate the dimensions that will produce the maximum enclosed area.
(d) Write the area function in standard form to find analytically the dimensions that will produce the maximum area.
(e) Compare your results from parts (b), (c), and (d).

Chapter 2: Polynomial and Rational Functions

Section 1: Quadratic Functions and Models

Precalculus with Limits

In Exercises 55 - 58, use a graphing utility to graph the equation. Use the graph to approximate the values of $ x $ that satisfy each inequality.

Equation
$ y = \dfrac{2x^2}{x^2 + 4} $

Inequalities
$ (a) $ y \ge 1 $ (b) $ y \le 2 $

Chapter 2: Polynomial and Rational Functions

Section 7: Nonlinear Inequalities

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