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Paul Nguyen
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Algebra for STEM
P4 (Part 1)
P4 Part 2 (Special Factoring
1.1 Linear and Absolute Value Equations
1.2 Formula and Applications
1.3 Quadratic Equations
1.4 Solving other Equations
1.5 Solving Inequalities
2.1 Circles (Part 2)
2.1 The Coordinate Plane
2.2 Introduction to Functions
2.3 Linear Functions
2.4 Quadratic Functions
2.5 Horizontal and Vertical Shifts
Unit 4
3.1 The Remainder theorem and the Factor theorem
3.2 Graphing higher degree polynomials
3.3 Zeros of a Polynomial function
3.4 The Fundamental Theorem of Algebra
3.5 Asymptotes of Rational Functions
4.1 Inverse Functions
4.2 Exponential Functions
4.3 Logarithmic Functions
4.4 Properties of Logarithms
4.5 Exponential and Logarithmic Equations
4.6 Exponential Functions
6.1 Systems of Linear Equations (2 variables)
6.2 Systems of Linear Equations (3 var)
6.3 Systems of nonlinear equations
7.1/7.4 Augmented Matrices and Determinates
Calculus II
Module 1: The Calculus of Inverse Functions
1.1 Inverse Functions
1.2 The Natural Logarithmic Function
1.3 Exponential Functions
1.4 Inverse Trigonometric Functions
Module 2: Symbolic Techniques of Integration
2.1 Integration by Parts
2.2 Trigonometric Integrals
2.3 Trigonometric Substitutions
2.4 Partial Fractions Decomposition
Module 3: Additional Integration Techniques and Limits
3.1 Tables of Integrals
3.2 Numerical Integration
3.3 Indeterminate Forms and LʻHospitalʻs Rule
3.4 Improper Integrals
Module 4: Introduction to Differential Equations
4.1 Differential Equations
4.2 Exponential Growth and Decay
4.3 Other Elementary Differential Equations
4.4 Introduction to Direction Fields (also called Slope Fields)
Module 5: Introduction to Infinite Sequences and Series
5.1 Introduction to Infinite Sequences
5.2 Introduction to Infinite Series
Module 6: Convergence and Divergence of Infinite Series
6.1 Convergence Tests, Part I
6.2 Convergence Tests, Part II
6.3 Convergence Tests, Part III
6.4 Alternating Series
Module 7: Power Series
7.1 Polynomial Approximation of Functions
7.2 Properties of Power Series
7.3 Taylor Series
Projects and Show your Work Problems
Calculus IV
Module 1: Double Integrals
1.1 Double Integrals over Rectangular Regions
1.2 Double Integrals over General Regions
1.3 Double Integrals in Polar Coordinates
1.4 Module Review
Module 2: Triple Integrals
2.1 Triple Integrals
2.2 Triple Integrals in Cylindrical and Spherical Coordinates
2.3 Integrals for Mass Calculations
2.4 Change of Variables in Multiple Integrals
Module 3: Vector Calculus, Green’s Theorem, and Divergence & Curl
3.1 Vector Fields
3.2 Line Integrals
3.3 Conservative Vector Fields
3.4 Green’s Theorem
3.5 Divergence and Curl
Module 4: Surface Integrals, Stokes’ and Divergence Theorem
4.1 Surface Integrals
4.2 Stokes’ Theorem
4.3 Divergence Theorem
4.4 Module Review
Math Functions
2.1 Tables and Trends
2.2 Graphs
3.4 Linear Regression
3.5 Systems of Linear Equations
4.1 Exponential Growth and Decay
4.3/4.4 Modeling Exponentials
4.5 Logarithmic Functions
6.1 Velocity and Distance
6.2 Rates of Change of Other Functions
Pre-Stem Algebra
4.4 Slope of a line
4.5 Equations of Lines
5.1 Solving Systems of Equations by Graphing and Substitution
5.2 Solving Systems of Equations by the Addition Method
6.2 Introduction to Polynomials
7.1 Factoring the GCF
8.2 Adding and Subtracting Rational Expressions
Precalculus I
Module 1: Graphs and Functions
1.1 Graphs of Equations
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Algebra for STEM majors
Math Functions