
Syllabus for MATH 31B, Sect 1 & 2; Winter 2017 

Week 
Date 
Section 
Topic 
HW (due date) 


I 
1/9 
1.11.2 
Organization, precalc. review 
HW1
(1/18) 
1/11 
1.11.4, 2.12.7 
Precalc & limits review 

1/13 
3.13.7 
Differentiation review 
HW2
(1/20) 

II 
1/16 
MLK holiday 
1/18 
3.84.7, 7.7 
More differentiation review, l'Hopital's rule 
HW3
(1/25) 
1/20 
7.1, 7.9 
Exponentials & hyperbolic functions 
HW4
(1/26) 

III 
1/23 
7.2, 7.8 
Inverse functions, inverse trigs 

1/25 
7.3 
Logs & derivatives thereof 

1/26 
Midterm I (68PM, covers all HW due by today) 

1/27 
5.15.5, 5.7 
Integration review 
HW5 (2/1) 

IV 
1/30 
8.1 
Integration by parts 

2/1 
8.2 
Trig integrals 
HW6 (2/6) 
2/3 
8.3 
Trig substitution 


V 
2/6 
8.4 
Integrals of hyperbolic functions 
HW7 (2/10) 
2/8 
8.5 
Method of partial fractions I 

2/10 
8.5 
Method of partial fractions II 
HW8 (2/15) 

VI 
2/13 
8.5 
Integration techniques, partial fractions 

2/15 
9.4 
Taylor polynomials & Taylor's Theorem 

2/16 
Midterm II (68PM, covers all HW due by today) 

2/17 
9.4 
More on Taylor's Theorem 


VII 
2/20 
President's Day holiday 
2/22 
8.7, 9.1 
Improper integrals, applications (arclength) 
HW9 (2/27) 
2/24 
11.1 
Sequences and limits theoreof 


VIII 
2/27 
11.211.3 
Summing an infinite series, role of positivity 
HW10 (3/6) 
3/1 
11.4 
Absolute vs conditional convergence 

3/3 
11.5 
Integral test, ratio & root tests 
HW11 (3/8) 

IX 
3/6 
11.6 
Power series 

3/8 
11.7 
Taylor series 

3/9 
Midterm III (68 PM, covers all HW due by today) 

3/10 
 
Differentiation/integration of power series 
HW12 (3/17) 

X 
3/13 
 
Leeway & review 
HW13 (3/19) 
3/15 
 
Leeway & review 

3/17 
 
Leeway & review 


Sunday 3/19: Final exam 811 AM, comprehensive, covers all material above 
