MAT1093
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Precalculus
1093. Precalculus. (30) 3 Credit Hours. (TCCN = MATH 2312)
Prerequisite: MAT 1073 or the equivalent course or satisfactory performance on a placement examination. Exponential functions, logarithmic functions, trigonometric functions, complex numbers, DeMoivre’s theorem, and polar coordinates. May apply toward the Core Curriculum requirement in Mathematics. Generally offered: Fall, Spring, Summer. Course Fees: DL01 $75; LRC1 $12; LRS1 $45; STSI $21.
Lesson Plan
Date  Sections  Topics  Prerequisite Skills  Student learning outcomes 

Week 1  Orientation 


Week 1  1.3  Functions and their graphs 


Week 2  1.7  Onetoone functions 


Week 2  1.7  Inverse functions 


Week 2  2.1  Angles and their measure 


Week 3  2.2  Trigonometric Functions: Unit Circle Approach 


Week 3  2.3  Properties of the Trigonometric Functions 


Week 4  2.4  Graphs of the Sine and Cosine Functions 
 
Week 4  2.5  Graphs of the Tangent, Cotangent, Cosecant and Secant Functions 
 
Week 5  2.6  Phase shift and Applications 
 
Week 5 


Week 6  3.1  The inverse Sine, Cosine and Tangent functions 


Week 6  3.2  The inverse Secant, Cosecant and Cotangent functions 


Week 6  3.3A  Trigonometric equations involving a single trig function 


Week 7  3.3B  Trigonometric Equations 


Week 7  3.4  Trigonometric Identities 


Week 8  3.5  Sum and Difference Formulas 


Week 8  3.6A  Doubleangle formulas 
 
Week 8  3.6B  Halfangle formulas 
 
Week 9  3.7  ProducttoSum and SumtoProduct Formulas 


Week 9 


Week 10  4.1  Right triangle definitions of trig functions and related applications 


Week 10  4.2  The Law of Sines 


Week 11  4.3  The Law of Cosines 


Week 11  4.4  Area of a Triangle 


Week 11  5.1  Polar Coordinates 


Week 11  5.2  Polar Equations and Graphs 


Week 11/12  5.3  The complex plane 


Week 12  5.3  DeMoivere’s Theorem 


Week 12 


Week 13  7.4  Logarithmic and Exponential Equations 


Week 14  7.6  Exponential growth and decay models 


Week 14  7.6  Newton’s law of Cooling models 


Week 14  7.6  Logistic growth and decay models 


Week 15  Common Final Exam Review  All topics covered during the semester 