Fall 2017: MATH 131 "Calculus II for Life Sciences"

Description: Continuation of MATH 130, including an introduction to differential equations, linear systems and linear algebra, multivariable calculus, probability (including conditional probability and the normal and binomial distributions). Alongside the mathematical concepts there will be applications in biology.

Prerequisites: good command of the basic rules of calculus, i.e., the content of MATH 130.

Assignments: Lecture quizzes (5%), mathematics recitation quizzes (15%), biology group worksheets (10%), three in-class midterms (3 x 15%) and a comprehensive final exam (25%).

Classes: TuTh 930am - 1045am, ARM 0135.

Textbook: J. Stewart, T. Day: Biocalculus: Calculus, Probability, and Statistics for the Life Sciences, ISBN: 9781305607866. Since the class has no online component a used copy of the textbook is perfectly fine.

Office hours: TuTh 11am - 12pm in my office (MATH 4416), and by appointment.

Syllabus and detailed course policy: (pdf).

Tentative exam dates: Midterm 1: Oct. 3, Midterm 2: Nov. 2, Midterm 3: Nov. 30, Final: Dec 13, 1:30pm-3:30pm, Location BRB 1101 (for Gareth's students 0112, 0122, 0132, 0142) and ARC 0204 (for Nathan's students 0111, 0121, 0131, 0141).

Information on lecture quizzes: Starting the second week, I will administer quizzes at the end of lectures, on average once a week. You will provide your answer using TurningPoint responsware. Please install the TurningPoint app on your smartphone/tablet/computer so you can submit your answer (we will not use 'clickers'). The app is freely available for all students of the University. You can find detailed instructions here on how to set up your account correctly, which is your responsibility.

TA office hours and contact:

• Mathematics TAs:
  • Gareth Johnson (gcjohnso AT math DOT umd DOT edu). Office hours: M 1230-130pm W 11am-12pm in CSS 4326
  
  
  • Nathan Yu (nathanyu AT math DOT umd DOT edu). Office hours: WF 1-2pm in MTH 4204
  
  
• Biology TAs:
  • Ajeet Gary (agary AT terpmail DOT umd DOT edu). Office hours: MF 8-9am, in MTH 0301
  
  
  • Benjamin Tyler Daniels (bdaniels AT umd DOT edu). Office hours: M 1-2pm, W 4-5pm, in IPST 1102
  
  
  • Sylvia Ejeh (ejehsylvia AT yahoo DOT com). Office hours: W 1-2pm Th 130-230pm in HJP 3204
  
  
  • Madolyn Britt (mbritt AT terpmail DOT umd dot edu). Office hours: M 12-1pm, Tu 2-3pm in IPST 1102
  
  

Assigned homework and lecture log: your homework will not be graded, however it is the most important component of the course. Without doing all the homework you will do poorly on the quizzes/worksheets/midterms, and you will likely fall behind. Try to do all the problems below, assigned from your textbook, before attending the discussion sessions.

• August 29, Course overview. Review of basic rules of calculus (read 5.1-5.5, solve HW Ch5 review: 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28).


• August 31, Review of Chapter 5 (read 5.5,5.8, skim over 7.1, solve HW Ch 5 review: 31, 35, 39, 40, 41, 48)


• September 5, Section 7.1 (read 7.1, solve HW 7.1: 1, 2, 3, 4acd, 5bd, 6bd, 7ab, 9, 11,13, 14)


• September 7, Section 7.2, 7.3(direction fields) (read 7.1-7.2, solve HW 7.2: 1, 2, 3, 4ab, 5bc, 6a, 7, 8a, 11, 14, 7.3: 1, 3, 4, 5, 6, 7, 11)


• September 12, Section 7.3(Euler's method), 7.4 , (read 7.3-7.4, solve HW 7.3: 23, 25, 7.4: 1, 2, 3, 4, 5, 7, 11, 14, 19, 39ab, 41)


• September 14, Section 7.4, 7.5(parametric equations) , (read 7.4-7.5, solve HW 7.5: 1, 5, 7, 9, 11, 12)


• September 19, Section 7.5, (read 7.5 solve HW 7.5: 13, 14, 15, 16, 19, 23)


• September 21, Section 7.6(skip Qualitative Dynamics!), 8.1, (read 7.6, 8.1, solve HW 7.6: 7, 8, 10, 11, 13, 14b, 16b, 17b, 23b(skip arrows), 24b(skip arrows), 8.1: 1, 3, 5, 6)


• September 25, Section 8.1,8.2, (read 8.1,8.2, solve HW 8.1: 1, 3, 5, 6, 11, 13, 15, 38, 39ab, 8.2: 2, 3, 4, 5, 7, 11, 15, 19, 23, 27, 30cd, 32ab)


• September 27, Review 7.1-7.6, 8.1-8.2.


• October 3, Midterm 1.


• October 5, Section 8.3 (read 8.3, solve HW 8.3: 1, 2, 3, 6, 9, 13, 15, 17, 21, 27, 29, 32, 37).


• October 10, Section 8.4 (read 8.4, solve HW 8.4: 1abcdef, 3cdf, 4eh, 5cd, 7, 9, 10, 12).


• October 12, Section 8.5 (read 8.5, solve HW 8.5: 3ab, 5a, 9, 10, 11, 13, 17, 19).


• October 17, Section 8.6 + Inverting 3x3 matrices, (read 8.6, solve HW 8.6: 1abce, 2abf, 3, 10abcd(compute the inverses if they exist), 23, 25, 27, 29, 35).


• October 19, Section 8.7, (read 8.7, solve HW 8.7: 9abc, 10abc, 11abc, 13abcde, 27,28).


• October 24, Section 8.8, (read 8.8 up to page 552, solve HW 8.8: 1, 2, 3, 5, 15, 17, 19, 35bc, 36, 37ac).


• Nov 2, Midterm 2.


• Nov 7, Section 9.1, (read 9.1, solve HW 9.1: 2, 3,5, 6, 9, 11, 13, 21, 23, 25, 28, 29, 33, 34, 35, 36, 41, 43, 45, 49, 53,57, 61).


• Nov 9, Section 9.2, (read 9.2, solve HW 9.2: 1, 3ab, 9, 11, 13, 16,17, 21, 23, 37, 41, 43).


• Nov 14, Section 9.3, (read 9.3, solve HW 9.3: 1, 5, 7, 9, 11, 15, 17, 19, 20, 21).


• Nov 16, Section 9.4, (read 9.4, solve HW 9.4: 1, 3, 5, 11, 13, 15,17, 23, 25).


• Nov 21, Section 9.6 (skip absolute maximum and minumum values), (read 9.6, solve HW 9.6: 1, 2, 3, 5, 7, 9, 11, 23, 25, 29).


• Nov 28, Review 9.1-9.4, 9.6.


• Nov 30, Midterm 3.


• Dec 5, Section 12.1-2 (read 12.1-2, solve HW 12.1: 1, 3, 7, 9, 11, 13, 16, 17, 18, 19, 21, 32, 34, 36, 12.2:1-7, 11, 13, 15, 29, 33, 39, 43, 47) .


• Dec 7, Section 12.3 (skip "Multiplication Rule and Indepence" and thereafter) (read 12.3, solve HW 12.3: 1, 2, 3, 4, 5, 8, 9, 11, 13).


• Dec 13, 1:30pm-3:30pm, Location BRB 1101 (for Gareth's students 0112, 0122, 0132, 0142) and ARC 0204 (for Nathan's students 0111, 0121, 0131, 0141).

Additional resources:

• Testbank for past exams (valuable resource for exam preparation)


• Department of Mathematics walk in tutoring (look for 131 or 141 tutors)

Previous semesters: Spring 2017 MATH 430, Fall 2016 MATH 868D, Fall 2015 MATH 220, MATH 401, Spring 2015 MATH 461, Fall 2014 MATH 430.