MAT 1375 Precalculus
Text: Precalculus by Thomas Tradler and Holly Carley, Second Edition, available on www.lulu.com, PDF available from: http://websupport1.citytech.cuny.edu/faculty/ttradler/precalculus.html
Class  Topic  Homework  WeBWorK  Video Resource 
1 
1. The absolute value

1.1, 1.2, 1.3 (a)(e), 1.4 (a)(f), 1.6, 1.7 (a)(f) 
Interval Notation Absolute Value Inequalities 
Interval notation 
2  2. Lines and functions 
2.1 (a)(c), 2.3 (a)(c), 2.52.8 all 
Functions – Notation 
Functions 
3 
3. Functions by formulas and graphs 
3.1 (a)(b), 3.2, 3.4 (a)(f), 3.6 (a)(f), 3.7 (a)(g) and (m)(t), 3.8, 3.9

Functions – Difference Quotient 
The difference quotient 
4 
4. Introduction to the TI84 
4.1, 4.2 (a), 4.3 (c)(i), 4.6



5 
5. Basic functions and transformations 
5.1, 5.2 (a)(f), 5.3 (a)(d), 5.5 (a)(e)

Functions – Translations  Transformation of graphs 
6 
6. Operations on functions 
6.1 (a)(c), 6.2 (a)(b), 6.3 (a)(d), 6.4 (a)(c), 6.5 (a) (b), 6.6, 6.7

Functions – Operations 
Operations on functions 
7 
7. The inverse of a function 
7.1 (a)(c), 7.2 (a)(f) and (l)(p), 7.3 (a)(c), 7.4 (a) (c), 7.5 (a) and (d)

Functions – Inverse Functions 
The inverse of a function 
8 
First Examination 


9 
8. Dividing polynomials (8.3 Synthetic division is optional) 
8.1 (a)(c) and (j)(k), 8.2, 8.3, 8.4 (a)(d) (Optional: 8.5 (a)(d))  Polynomials – Division  Long division

10 
9. Graphing polynomials (9.3 Graphing polynomials by hand is optional) 
9.19.3 all, 9.4 (a)(c), 9.5 (a)(c) (Optional: 9.6) 
Polynomials – Graphs 
Graphing polynomials 
11 
10. Roots of polynomials (10.1 Rational root theorem is optional) 
10.2 (a)(d), 10.3 (a)(c), 10.4 (a)(c) and (f)(h), 10.5 (a)(c) and (f)(i) 
Polynomials – Theory 
Polynomialstheory 
12 
11. Rational functions (11.2 Graphing rational functions by hand is optional) 
11.111.4 all

Rational Functions – Domains Rational Functions – Intercepts 
Rational Functions 
13 
12. Polynomial and rational inequalities 
12.1 (a)(c), 12.2 (g)(j), 12.4 (a)(f), 12.5 
Polynomials – Inequalities Rational Functions – Inequalities 
Polynomial Inequalities

14 
13. Exponential and logarithmic functions 
13.1 (a)(f), 13.2 (a)(e), 13.4, 13.5 (a)(b), 13.6 (a) (h) 
Exponential Functions – Graphs Logarithmic Functions – Graphs 
Exponential and Logarithms 
15 
Midterm Examination 

16 
14. Properties of exp and log 
14.1 (a)(e), 14.2 (a)(f), 14.3 (a)(c) and (e), 14.4 (e)(g), 14.5 (a)(e) 
Logarithmic Functions – Properties 
Properties of logarithms 
17 
15. Applications of exp and log 
15.1 (a)(b), 15.315.8 all 
Exponential Functions – Growth and Decay 
Applications of exp and log 
18 
16. Halflife and compound interest 
16.116.7 all, 16.9 (a)(c), 16.10 (a)(e)  Halflife  
19 
17. Trigonometric functions 
17.1 (a)(d) and (g)(h), 17.3, 17.4, 17.5 (a)(d), 17.6 (a)(g) 
Trigonometry – Graphing Comprehensive 
Graphing trigonometric functions 
20 
18. Addition of angles and multiple angle formulas 
18.1 (a)(e), 18.2 (a)(b), 18.3 (a)(d), 18.4 (a)(d) 
Trigonometry – Sum and Difference Formulas Trigonometry – Double and Half Angle Formulas 
Addition of angles and multiple angle formulas 
21 
19. Inverse trigonometric functions 
19.1, 19.2 (a)(j), 19.3 (a)(c) and (g)(i) 

Inverse trigonometric functions 
22 
20. Trigonometric equations 
20.1 (a)(f), 20.2 (b)(c), 20.4 (a)(k), 20.5 (a) 
Trigonometry – Equations 
Trigonometric equations 
23 
Third Examination 

24 
21. Complex numbers 
21.1 (a)(c), 21.2 (b)(e), 21.3 (a)(c), 21.4 (a)(d), 21.5 (c)(d), 21.6 (a)(d), 21.7 (a)(d) 
Complex Numbers – Direction Complex Numbers – Magnitude Complex Numbers – Polar Form 
Complex numbers 
25 
22. Vectors in the plane 
22.1 (a) and (d), 22.2 (a)(d), 22.3 (b)(f) and (k) (m), 22.4 (a)(b) 
Vectors – Components Vectors – Magnitude and Direction Vectors – Unit Vectors 
Vectors in the plane 
26 
23. Sequences and series 
23.1 (a)(c), 23.3 (a)(d), 23.4 (a)(d), 23.5 (a)(b), 23.7 (a)(b) and (e)(i)  Sequences – Arithmetic
Series – Finite Arithmetic 
Sequences and series 
27 
24. The geometric series 
24.1 (a)(d), 24.2 (a)(c), 24.3 (a)(b) and (e)(i), 24.4 (c) and (f)(i), 24.5 (a) 
Sequences – Geometric Series – Geometric 
The geometric series 
28 
25. The binomial theorem 
25.1 (a) and (i)(l), 25.2 (b), 25.3 (a)(d), 25.4 (a) (d), 25.5 (a)(d), 25.6 (a)(d) 
Sequences – Binomial Theorem 

29 
Review 
Selected final exam review questions  
30  Final Examination 