MATH 1230 – Calculus 2 for Engineering
Homework problems, Winter 2020

Problems are from the assigned textbook: W. Briggs, L. Cochran, B. Gillett, Calculus: Early Transcendentals, Single Variable, 3rd Edition, Pearson Education, 2019.

The following is a minimal set of problems you should be able to solve by the end of the course. Additional practice (e.g. review after each chapter) is up to your discretion.

Date AssignedTopic

Problems




Jan 13 Riemann sums; definite integrals

§5.2; #7, 9, 11, 17, 21, 39, 41, 43, 79, 80, 81, 83




Jan 20 quiz #1



Jan 20 Fundamental theorem

§5.3; #25, 27, 29, 33, 35, 41, 47, 51, 59, 65, 111

Substitutions

§5.5; #7, 9, 17, 19, 23, 51, 45, 55, 61




Jan 27 quiz #2



Jan 27 Derivatives of integrals

§5.3; #73, 77, 79, 85

Velocity & net change

§6.1; #7, 11, 13, 19, 41, 47




Feb 4 quiz #3



Feb 4 Areas between curves

§6.2; #9, 11, 19, 21, 28, 39, 41, 59

Volumes (slicing)

§6.3; #17, 19, 27

Integration by parts

§8.2; #9, 11, 13, 19, 23, 25, 39, 43, 44




Feb 13 MIDTERM EXAM #1



Feb 14 Volumes (shells)

§6.4; #9, 13, 15

Improper integrals

§8.9; #7, 9, 11, 17, 33, 37, 49

Arc length

§6.5; #3, 5, 9, 11




Feb 17-21 mid-semester break



Feb 25 Partial fractions

§8.5; #23, 25, 29, 33, 34, 35

Work

§6.7; #35, 36, 37, 39




Mar 3 quiz #4



Mar 3 Trigonometric integrals

§8.3; #9, 11, 15, 19, 23, 25

Differential equations

§9.3; #5, 7, 9, 17, 21, 29




Mar 12 quiz #5



Mar 12 Modeling with DEs (cooling)

§9.4; #5, 11, 27, 28, 33

Mixing models

§9.5; #23, 25

Numerical integration

§8.8; #15, 21, 23, 25, 27, 35, 36







   
Mar 23 Transition to online instruction and self-study.
Check the course website regularly!






   
Mar 23 geometric series

§10.3; #21, 23, 25, 27, 35

ratio test

§10.7; #9, 13, 15, 17, 21




Mar 30 9:30AM PST. quiz #6 (open-book).
Quiz will be posted on course website.
Scan/photograph your solution and email to me.



Mar 30 Taylor polynomials

§11.1; #9, 11, 33, 35

Taylor & Maclaurin series

§11.3; #9, 11, 25, 35, 36, 37




Apr 6 9:30AM PST. quiz #7 (open-book).
Quiz will be posted on course website.
Scan/photograph your solution and email to me.



Apr 6 radius of convergence

§11.2; #9, 15, 19, 21, 23, 25, 29

applications of Taylor series

§11.4; #37, 39, 41, 45, 47







Apr 21 2:00PM PST. FINAL EXAM (open-book).
Exam will be posted on course website at the scheduled time.
Scan/photograph your solution and email to me by 6:00PM PST.



April 21, 2020