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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