# MATH FOR ENGINEERING AND TECHNICAL STUDIES

**Algebra Review **

Solving Equations; Graphic Exponential Functions; Logarithmic Functions; and Polar Coordinates

**Trigonometry Review **

Angles & their Measure; Circular Functions; Graphics of Trigonometric Functions; Trigonometric Identities & Equations; Complete Numbers; and DeMoivre's Theorem

**Single Variable Calculus I **

Limits; Continuity; Definition of the Derivative; Calculating the Derivative; Implicit Functions & Implicit Differentiation; Related Rates; Higher Order Derivatives; Applications to Graphing; Optimizations Problems; Integration; Applications to Area & Volumes of Solids of Revolution; and The Calculus of Logs & Exponential Functions

**Single Variable Calculus II **

Trigonometric Integrals; Inverse Trigonometric Functions; Integration Using Trigonometric Substitution; Integration by Parts; Partial Fraction Decomposition; Hyperbolic Functions cosh x and sinh x; Arc Length of Curves; Surface Area of Solids of Revolution; Motor & Work Problems; L'Hopital's Rule; Improper Integrals; Areas Using Polar Coordinates; and Differential Equations

**Differential Calculus **

Techniques of Differentiation; Derivatives of Trigonometric Functions; Differentiating a Parametrized Curve; Higher Order Derivatives; and Derivatives & Logarithmic Functions

**Multivariable Calculus **

Introduction to R3; Parametric Equations of Curves in R2 & R3; Vectors; Equations of Planes and Lines; Multi-variable Functions & Lead Curves; and Partial Derivatives

**Sequences & Series **

InfiniteSequences; Infinite Series; Tests for Convergence; and Taylor & Maclauren Series

**Linear Algebra **

Solving Systems of Linear Equations by Row Reduction; Algebra of Matricies; and Determinants & Cramer's Rule

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