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YouTube

Calculus 1 Corequisite

via YouTube

Overview

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This course covers the fundamentals of calculus, focusing on rational expressions, trigonometry, trigonometric functions and equations, logarithms, inverse functions, and inequalities. By the end of the course, students will be able to solve basic trigonometric equations, work with logarithmic functions, understand inverse trigonometric functions, and apply polynomial and rational inequalities. The teaching method includes lectures, graphing exercises, and problem-solving sessions. This course is intended for students who are taking Calculus 1 and need additional support or a corequisite course.

Syllabus

Rational Expressions.
Difference Quotient.
Lines: Graphs and Equations.
Rational Functions and Graphs.
Right Angle Trigonometry.
Sine and Cosine of Special Angles.
Unit Circle Definition of Sine and Cosine.
Properties of Trig Functions.
Graphs of Sine and Cosine.
Graphs of Sinusoidal Functions.
Graphs of Tan, Sec, Cot, Csc.
Solving Basic Trig Equations.
Trig Identities.
Pythagorean Identities.
Angle Sum and Difference Formulas.
Double Angle Formulas.
Composition of Functions.
Solving Rational Equations.
Logarithms: Introduction.
Log Functions and Their Graphs.
Combining Logs and Exponents.
Log Rules.
Inverse Functions.
Inverse Trig Functions.
Solving Right Triangles.
Polynomial and Rational Inequalities.
Summation Notation.

Taught by

Linda Green

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