Mathematics 136 Syllabus
Note:
If you intend to take higher level courses requiring CALC2,
do not take Math 136 or Math 138; take Math 152 instead.
All chapter numbers in the syllabus refer to the
Lecture 
Topic 
Sections 
Problems 
1 
Integration Review 
5.35.5 
5.3: 3,27 
2 
Numerical Integration 
5.8 
5.8: 3,7,11,13,19,21,29,38 
3 
Area between curves 
6.1 
6.1: 1,3,5,9,12,13,15,19,24,31 
4 
Volumes 
6.2 
6.2: 1,5,7,9,13,15,20,25,29,35,41,42,50,55 
5 
Volumes, Applications 
6.2, 6.6 
6.6: 5,9,15,17,21 
6 
Applications 
6.6 
6.6: 25,28,29,39,49,53,57 
7 
Integration by Parts; Integration Tables 
7.1, 7.2 
7.1: 3,4,11,13,15,17,27,31,42,45,49 
8 
Trig. integrals, partial fractions 
7.3, 7.4 
7.3: 5,7,11,12,13,17,19,22,49,53,57 
9 
Differential
Equations 
5.6 
5.6: 1,5,7,9,11,17,20, 21,23,25,27,29,45,47,57 
10 
Differential
Equations 
7.6 
7.6: 1,5,11,23,24,25,35,40,43 
11 
Improper Integrals 
7.7 
7.7: 3,5,13,17,19,21,25,27,31,33,35,39,43,45 
12 
FIRST MIDTERM 


13 
Sequences 
8.1 
8.1: 5,9,13,17,23,25,31,4346,48 
14 
Geometric Series 
8.2 
8.2: 38,15,16,23,25,33,39,41,43,47,51 
15 
Convergence tests 
8.3,8.4 
8.3: 3,4,5,7,9,13,15,19,21,29,31,39,43,45,55 
16 
Ratio and root tests 
8.5 
8.5: 3,5,7,9,13,17,21,29,33,39,53 
17 
Absolute convergence 
8.6 
8.6: 5,7,9,11,13,17,21,25,31,35,39,45 
18 
Power series 
8.7 
8.7: 1,5,9,11,13,17,21,25,31,35,39,43,49 
19 

8.8 
8.8: 3,7,13,21,25,27,29,33,37,39,47,49,52 
20 
SECOND MIDTERM 


22 
Functions of several variables 
11.1 
11.1: 3,7,11,15,17,18,19,2326 
23 
Partial Derivatives 
11.3 
11.3: 3,4,9,18,19,25,26,27,28,4245,47 
24 
Maxima and Minima 
11.7 
11.7: 3,5,8,11,12,14,16,17,23,26,41,43,52 
25 
Lagrange Multipliers 
11.8 
11.8: 1,5,9,11,12,13,15,18,19,25,26,28,30,31 
26 
Double Integrals 
12.1 
12.1: 3,5,9,11,14,15, 19,23,25,44 
27 
Double Integrals 
12.2 
12.2: 3,4,6,7,9,11,13,14 
28 
Catchup, review 

