“Learn everything from Trigonometry and Precalculus, then test your knowledge with 470+ practice questions”
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Getting started Angles The six trig functions The unit circle Angles in circles Graphing trig functions Inverse trig functions Trig identities The law of sines and law of cosines Final exam Polar curves Parametric curves Analytic geometry Complex numbers Matrices Final exam and wrap-up
“One Single Course to teach Pre Calculus, Calculus and Trigonometry with over 9 Hours of Lectures, Quizzes and Exercises.”
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“Introduction to the Course PRE CALCULUS-Introduction to “Functions” Domain of a Function (Pre Calculus) Range of a Function (Pre Calculus) Average Rate of Change of a Function (Pre Calculus) Even and Odd Functions (Pre Calculus) Composite Functions (Pre Calculus) Inverse Function (Pre Calculus) Absolute and Relative Maxima and Minima of a Function (Pre Calculus) TRIGONOMETRY-Introduction Triangles – Properties and Types (Trigonometry) Pythagoras Theorem (Trigonometry) Trigonometric Functions – sin,cos and tan (Trigonometry) Trigonometric Functions – cosec,sec and cot (Trigonometry) Trigonometric Ratios of Standard Angles (Trigonometry) Complementary Angles (Trigonometry) Trigonometric Identities (part-1) (Trigonometry) Trigonometric Identities Continued..(part-2) (Trigonometry) Trigonometric Identities Continued..(part-3) (Trigonometry) Trigonometric Identities Continued..(part-4) (Trigonometry) Laws of Sines and Cosines (Trigonometry) Similar Triangles (Trigonometry) CALCULUS-Introduction to “Limits” Finding Limits from Graphs (Calculus) One-Sided Limits (Calculus) Finding One-Sided Limits and Overall Limits from Graphs (Calculus) Introduction to “Continuity” (Calculus) Figuring the Continuity from Graphs (Calculus) Introduction to “Derivatives” (a.k.a. Differentiation) (Calculus) Finding Derivatives using Standard Formula (The First Principle) (Calculus) Derivative Rules: Introduction (Calculus) Derivative Rule #1: Derivative of a Constant (Calculus) Derivative Rule #2: Multiplication by a Constant (Calculus) Derivative Rule #3: Power Rule (Calculus) Derivative Rule #4: Sum Rule (Calculus) Derivative Rule #5: Difference Rule (Calculus) Derivative Rule #6: Product Rule (Calculus) Derivative Rule #7: Quotient Rule (Calculus) Derivative Rule #8: Reciprocal Rule (Calculus) Derivative Rule #9: Chain Rule (Calculus) Worked Examples on Derivative Rules: Practice Makes Perfect! (Calculus) Trigonometric Derivatives (Calculus) Worked Examples on Trigonometric Derivatives: Practice Makes Perfect! (Calculus) Exponential Derivatives (Calculus) Worked Examples on Exponential Derivatives: Practice Makes Perfect! (Calculus) Logarithmic Derivatives (Calculus) Worked Examples on Logarithmic Derivatives: Practice Makes Perfect! (Calculus) Increasing and Decreasing Intervals of a Function Positive and Negative Intervals of a Function Calculating Domain and Range of a Function from Graphs Insights into the Domain of Radical and Rational Functions Bonus Lecture”
Introduction The Unit Circle Right Triangle Trigonometry Trigonometric Functions of any Angle Graphing Trigonometric Functions Inverse Trigonometric Functions Applications of Trigonometric Functions Verifying Trigonometric Identities Sum and Difference Formulas Double Angle & Half Angle Identities and Power Reducing Formulas Product-To-Sum and Sum-to-Product Formulas Solving Trigonometric Equations Law of Sines and Cosines Polar Coordinates Graphing Polar Equations Complex Numbers and De Moivre’s Theorem Vectors Dot Product
Includes videos and over 300 pages of quizzes/worksheets (answer keys provided!)
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Introduction to the Course Unit 1: Introduction to Matrices Unit 2: Transformations of Matrices BONUS UNIT: Determinants and Inverse Matrices Unit 3: Absolute Value and Inequalities Unit 4: Introduction to Functions Unit 5: Linear Functions Unit 6: Systems of Equations and Inequalities Unit 7: Polynomials Unit 8: Dividing and Factoring Polynomials Unit 9: Radical Expressions Unit 10: Quadratic Functions Unit 11: Special Functions Unit 12: Logarithms Unit 13: Polynomial Functions Unit 14: Trigonometric Functions Unit 15: The Unit Circle and Angle Measures Unit 16: Combinatorics Answer Keys
Master everything from sketching angles to graphing trig functions and assess your mastery with quiz questions too.
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Introduction Basics Definitions of Angles and their Measures Angles and Their Measures – Sketching and Determining their measure Basics definitions for Arc Length Arc Length Basics definitions for Right Triangle Trigonometry Right Triangle Trigonometry Basics definitions for Unit Circle Trigonometry Unit Circle Trigonometry Essential Definitions and Processes for graphing Sine/Cosine Graphing The Sine and Cosine Function Essential Definitions and Processes for graphing Tangent and Cotangent Functions Graphing Tangent and Cotangent Essential Definitions and Processes for graphing Secant and Cosecant Functions Graphing Secant and Cosecant Basics for Inverse Trigonometric Functions Inverse Functions of Trigonometric Functions and compostion Conclusion