Goals and objectives  Course Outcomes  

1.  The students can compute the values of basic functions such as linear functions, quadratic functions, and polynomial functions and their combinations & inverses. The students can also draw the graphs of those functions. 
A1

2.  The students can solve quadratic equations. The students can use division of polynomials to solve basic polynomial equations. 
A1

3.  The students can compute the values of exponential functions & logarithms as well as solve basic equations with those functions. The students can also draw the graphs of exponential functions & logarithms. 
A1

4.  The students can compute the values of trigonometric functions & their inverses using laws of sines & cosines and trigonometric identities. The students can also draw the graphs of those functions. 
A1

5.  The students can express complex numbers using poloar coordinates and solve basic equations using De Moivre's Theorem. 
A1

Class schedule  HW assignments (Including preparation and review of the class.)  Amount of Time Required  

1.  Guidance Real numbers Exponents and radicals Algebraic expressions Rational expressions 
Review the content of the lecture (1.11.4 in the textbook)  100分 
Work on homework problems  90分  
2.  Equations Modeling with equations Inequalities Coordinate geometry 
Review the content of the lecture (1.5, 1.71.9 in the textbook)  100分 
Work on homework problems  90分  
3.  Functions Graphs Average rate of change Linear functions 
Review the content of the lecture (2.12.5 in the textbook)  100分 
Work on homework problems  90分  
4.  Transformations of functions Combining functions 
Review the content of the lecture (2.62.7 in the textbook)  60分 
Work on homework problems  130分  
5.  Onetoone functions and inverses Quadratic functions Polynomial functions 
Review the content of the lecture (2.8, 3.13.2 in the textbook)  80分 
Work on homework problems  110分  
6.  Dividing polynomials and real roots Complex numbers and fundamental theorem of algebra Rational functions 
Review the content of the lecture (1.6, 3.33.6 in the textbook)  100分 
Work on homework problems  90分  
7.  Midterm presentation and discussions on the solutions afterwards  Preparation for midterm presentation  190分 
8.  Exponential functions and logarithms Properties of logarithms Equations with exponents and logs 
Review the content of the lecture (4.44.6 in the textbook)  100分 
Work on homework problems  90分  
9.  Trigonometric functions via the unit circle Graphs of trigonometric functions 
Review the content of the lecture (5.15.4 in the textbook)  80分 
Work on homework problems  110分  
10.  Inverse trig functions and their graphs Trigonometric functions via right angles 
Review the content of the lecture (5.55.6, 6.16.3 in the textbook)  100分 
Work on homework problems  90分  
11.  Inverse trig functions and right triangles Laws of sines and cosines Trigonometric identities 
Review the content of the lecture (6.46.6, 7.17.2 in the textbook)  80分 
Work on homework problems  110分  
12.  More identities Working with equations involving trig functions More equations with trig functions 
Review the content of the lecture (7.37.5 in the textbook)  60分 
Work on homework problems  130分  
13.  Polar coordinates  Review the content of the lecture (8.18.3 in the textbook)  60分 
Work on homework problems  130分  
14.  Final presentation and discussions on the solutions afterwards  Preparation for final presentation  190分 
Total.      2660分 
Homework  Presentations  Total.  

1.  10%  5%  15% 
2.  15%  6%  21% 
3.  15%  6%  21% 
4.  20%  8%  28% 
5.  10%  5%  15% 
Total.  70%  30%   
Work experience  Work experience and relevance to the course content if applicable 

N/A  N/A 