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Math 122 - Calculus for Biology II
Fall Semester, 2011

 © 2000, All Rights Reserved, SDSU & Joseph M. Mahaffy
San Diego State University -- This page last updated 06-Dec-11


Assignment Information

This page will give a complete listing of the reading and homework assignments that you are required to do. There is also a listing of the Exam schedule for the semester. The homework will be done with WeBWorK. This is an electronic homework system that is graded automatically on the due date. The grades of students taking the course were highly correlated with the scores on the Web Work homework assignments, so it is very important that you take this homework seriously (worth 20% of the lecture grade). If you find an error in one of the problems, then please email Joseph Mahaffy. On each problem of each assignment, you are allowed 10 tries to get the correct answer. Information on logging into WeBWorK is given by this hyperlink.

Week 15: The Final is Wed. Dec 14, 13:00-15:00. The Exam section below gives more information on the final. There is a Final from F09 (with Solutions) and a Final from S05 (with Solutions). This week starts the definite integral. The lecture material for the last week can be found in the notes for Definite Integrals. PDF lectures notes for the Definite Integral (4-Panel) are available. The problems on definite integrals in WebWork called set ABioc2definte_int are due by Mon. Dec. 12 at 4 AM. There are related homework problems in the text for the sections on Definite Integrals. The solutions are available for Definite Integrals (with some complete solutions).

Week 14: You will have Lab Exam 3: Mon. Dec. 5. The computer on which you will individually take the Lab Portion of the Exam is available. There is a review sheet for the lab portion of the exam with solutions for this review sheet available. In addition, there is a special Maple Help page for the review sheet. The lecture material for the last week can be found in the notes for Definite Integrals. PDF lectures notes for the Definite Integral (4-Panel) are available (to be completed soon). The problems on definite integrals in WebWork called set ABioc2definte_int are due by Mon. Dec. 12 at 4 AM. There are related homework problems in the text for the sections on Definite Integrals. The solutions are available for Definite Integrals (with some complete solutions).

Lab Notes: If you own a PC Laptop, then you can receive a licensed copy of Maple by coming to my office with your laptop. If you have a Mac Laptop, then you must set up an appointment with the College of Sciences Help desk (GMCS 111) to have it installed. Send an email to consult@sciences.sdsu.edu with the subject headline Mac Maple Install: Attn Susan.

Class Rankings: A hyperlink is provided with information on your class ranking along with all your grades on exams, labs, and Web Work problems. If you find any errors, notify me immediately. There is a code sheet, and through BlackBoard you can find your number to find your code name.

Tutors: There is departmental tutoring, but details have yet to be established for this semester. In the past, students in M122 could seek help at the times posted at:
http://coreymanchester.com/tutoring/index.php
The Math Office has a list of private tutors. I would highly recommend that you use my office hours and the ones posted for our lab assistants.

Exam Information

Details of the Grading policy are given through this link.

The Exam schedule is given below. There will be 3 Exams and a Final this semester. The exams will have 2 parts: 1. Exam over lecture material in the lecture room GMCS 301. 2. Lab Practical Exam over techniques learned in Lab, included in the Lab Exam will be one question counting toward the lecture Exam.

The Final is Wed. Dec 16, 13:00-15:00. The Exam section below gives more information on the final. There is a Final from F09 (with Solutions) and a Final from S05 (with Solutions). There will be 8-10 questions similar to the ones that you have done in WeBWorK and on previous exams. Note that you will only be able to use a Scientific Calculator, so you might want to buy one and practice now (if you haven't already done so). Examples of acceptable calculators are Ativa AT-30, Casio Scientific Calculator, HP 33S, Sharp EL501, and TI-30X. In addition, you can have three 3x5 notecards (both sides).

The final will consist of 8-10 questions. Below is a list of categories of questions to provide some guidance:

  1. Integrals - indefinite and definite, using basic formulae and substitution
  2. Differential equations - linear, time only, separation of variables
  3. Finding area
  4. Optimization
  5. Trigonometric functions - application
  6. Discrete dynamical model - application
  7. Lake/mixing problems (linear differential equation application)
  8. Heat exchange (linear differential equation application)
  9. Malthusian growth or radioactive decay
  10. Numerical differential equations - Euler's method
  11. Numerical Integration - Midpoint Rule and Trapezoid Rule
  12. Nonautonomous growth model
  13. Averages computed with integral

The Solutions to Exams are available through the links below:

Exam Schedule (tentative) below:

Exam 1: Wed. Oct. 5; Lab Exam 1: Mon. Oct. 3
Exam 2: Wed. Nov. 2; Lab Exam 2: Mon. Oct. 31
Exam 3: Wed. Nov. 30; Lab Exam 3: Mon. Dec. 5
Final: Wed. Dec 14, 13:00-15:00

Note: The computer lab in GMCS 425 is open for most of the hours 9-10 M-Th, 9-4:00 F, and 9-4:00 Sat. Please let me know if you have any problems accessing this lab.

Course Drop Deadlines: This semester the administration has a strict policy that all drops must occur in the first 3 weeks of classes. The drop deadline is September 12. Consult the new campus rules.

Old Assignments

Week 1: You need to familiarize yourself with this website so that you will know where to get the appropriate information for doing well in this course. (Students using my notes from Math 121 will already know how to navigate this webpage and should help those students unfamiliar with this course style.) There is a general information page that should help you navigate this website if you are not comfortable with the web. Students are entitled to a free account on rohan for receiving email and accessing many of the University computer facilities. We highly recommend getting one of these accounts. (Email will be very important for communicating with your lab partners and asking questions to your instructors.) More information on this is provided at the SDSU computer facilities website.

Reading assignment: Read all sections in the introduction to be familiar with the course policies and what is expected of you. (You may want to read the CSU and SDSU College of Sciences policy statement also.) After an introduction to what the Math 122 course will be covering, we will return to some of the differentiation material not covered in Math 121 last semester. There is a Math 121 final that is available for those unfamiliar with this web-based course to see what material you are supposed to know going into Math 122. Since many of you had a different instructor, this final may seem to cover substantially different material. However, you should enter Math 122 with the basics in Differential Calculus. The primary difference between the course that we teach and the other Math 121 sections is the emphasis on connecting the Mathematics to the Biology, which means that you will find most of the problems in class and on exams are word problems. You should begin by reading the Introduction section in the lecture notes. You may want to review the course notes for Math 121.

There is a syllabus available for the semester though the lecture material and exam timing will likely be modified as the semester progresses, since this is an old syllabus.

This week we examine the section on the Discrete Logistic Growth Models. PDF lectures notes for the Introduction (4-Panel), and Discrete Logistic Growth Models (4-Panel), and Discrete Dynamical Systems Models (4-Panel) are available. You should be working the WeBWorKproblems that are assigned. There is a set of problems that review differentiation (Set Bioc2revdiff), which are due Wed. Sept. 7 at 4 AM, and a set from the Discrete Logistic Growth Models (Set Bioc2logistic), which are due Wed. Sept. 14 at 4 AM. Discrete Logistic Growth Models homework are available (with complete solutions (logistic)). Information on logging into WebWork is given by this hyperlink. The set of problems that review differentiation should be worked with nothing more than a scientific calculator and paper just as you would on a lecture exam. If you need help, such as Wolfram Alpha, on many of these problems, then you are NOT prepared for this course.

You will begin your Computer Lab on WeBWorK answering a question about techniques in the lab, then putting numerical answers and formulae to your specific lab. Each student will have an individual lab to work in WeBWorK, but you will work as pairs to learn the techniques and for the written part of the Lab, where you submit graphs and short paragraphs asked in the lab. For more details, read the first Help page to the current Lab that you are assigned. Your first Computer Lab is due by 4 PM on Saturday, Sept. 10 in GMCS 425 (the labeled box). Most students have had Math 121 and know the primary guidelines for the Computer Lab report. If you have not had Math 121 at SDSU, then you may want to come to my office hours to discuss what is expected on the lab report. There are posted guidelines on the Web with our expectations. We do have a policy of dropping the lowest score for labs reports.

Week 2: This week continue the material on the Discrete Logistic Growth Models and More Applications of Nonlinear Dynamical Systems. PDF lectures notes for the Discrete Logistic Growth Models (4-Panel) and Discrete Dynamical Systems Models (4-Panel) are available. You should be working the WeBWorK problems from the Discrete Logistic Growth Models (Set Bioc2logistic), which are due Thur. Sept. 15 at 4 AM. Discrete Logistic Growth Models homework are available (with complete solutions (logistic)).

Week 3: This week completes the material on the More Applications of Nonlinear Dynamical Systems and start reading the material on Optimization. PDF lectures notes for the Discrete Dynamical Systems Models (4-Panel) and Optimization (4-Panel) are available. You should be working the WeBWorK problems from the Discrete Logistic Growth Models (Set Bioc2logistic), which are due Thur. Sept. 15 at 4 AM. Optimization problems are available for WeBWorK(Set Bioc2opt) and are due Sun. Sept. 25 at 4 AM., Discrete Logistic Growth Models homework are available (with complete solutions (logistic)). Related problems to the WeBWorK ones are available from in the Optimization homework section. There are solutions to the Optimization homework and more complete solutions to a selection of those problems.

Week 4-5: Your first EXAM is  Wed. Oct. 5. There is a review for the lecture part of the exam (with complete solutions) . Your first Lab EXAM is  Mon. Oct. 3. There is a review for the lab part of the exam (with solutions). The computer on which you will individually take the Lab Portion of the Exam is available. See the Exam Information section below for more information. This week continues the material on Optimization and begins the material on Trignometry. There has been a substantial revision to the chapter on Trigonometric Functions, so you can obtain a revised copy by the hyperlink. PDF lectures notes for Optimization (4-Panel) and Trigonometry (4-Panel) are available. The problems in WeBWorKcalled set ABioc2trig are due by Mon. Oct. 3 at 4 AM. You can find parallel problems to the Web Work problems on Trigonometry. There are solutions to the Trigonometry HW (with more complete solutions).

Week 6: The exam scores were a little low, so for this exam, you are allowed to rework the exam and turn in corrections for 50% of the missed points. The corrections are to be written on separate sheets of paper and stapled to the back of the exam when you resubmit it. The corrections are due at lab time Monday, Oct. 17. We will start the section on Differentiation of Trigonometric functions, and we may begin the lecture material for an Introduction to Differential Equations. (We plan to skip the Newton's Method section this year.) On Wed, we may begin the lecture material for an Introduction to Differential Equations. PDF lectures notes for Differentiation of Trigonometric Functions (4-Panel) and Introduction to Differential Equations (4-Panel) are available. The problems in WeBWorKcalled set ABioc2difftrig is due by Tuest. Oct. 18 at 4 AM.The HW problems on Differentiation of Trigonometric Functions are available with solutions to the Differentiation of Trigonometric Functions HW (with more complete solutions). The problems in WeBWorKcalled set ABioc2introde is due by Thur. Oct. 20 at 4 AM. The text has similar homework problems in the section an Introduction to Differential Equations . Solutions are available for the Introduction to Differential Equations.

Week 7: This week completes the study on an Introduction to Differential Equations and begins our study of differential equations with the lecture material for an Linear Differential Equations. PDF lectures notes for Introduction to Differential Equations (4-Panel) and Linear Differential Equations (4-Panel) are available. The problems in WeBWorK called set ABioc2linearde are due by Sun. Oct. 30 at 4 AM. The WebWork problems parallel the ones in the text or on this website. The text has similar problems on Linear Differential Equations. Solutions are available for the Linear Differential Equations. More complete solutions are available for the HW problems on Linear Differential Equations.

Week 8: Your second EXAM is  Wed. Nov. 2. There is a review for the lecture part of the exam (with complete solutions). Your second Lab EXAM is  Mon. Oct. 31. There is also a review for the lab part of the exam (with solutions). The computer on which you will individually take the Lab Portion of the Exam is available. See the Exam Information section below for more information. In Lab, we introduce the section on Numerical Methods for Differential Equations. PDF lectures notes for Linear Differential Equations (4-Panel) and Numerical Methods for Differential Equations (4-Panel) are available. The problems in WeBWorK called set ABioc2numerde are due by Tues. Nov. 1 at 4 AM. There are related homework problems in the text for the section on Numerical Methods for Differential Equations. Solutions are available for the Numerical Methods for Differential Equations. More complete solutions are available for the HW problems on Numerical Methods for Differential Equations.

Week 10: This weekbegins integration with the lecture material in the notes for an Differential Equations and Integration and Separation of VariablesPDF lectures notes for Differential Equations and Integration (4-Panel) and Separation of Variables (4-Panel) are available. The problems in WeBWorK called set ABioc2deint are due by Wed. Nov. 16 at 4 AM. Other related homework problems are in the section on Differential Equations and Integration. Solutions are available for the Differential Equations and Integration (with more complete solutions also available). The problems in WeBWorK called set ABioc2sepde are due by Tues. Nov. 22 at 4 AM. There are related homework problems in the text for the sections on Separation of Variables. Solutions are available for Separation of Variables (with some complete solutions).

Week 11: This week continues techniques of integration and solving differential equations. You will have Exam 3: Wed. Nov. 30 with Lab Exam 3: Mon. Dec. 5. There is a review sheet for the lecture portion of the exam with solutions for this review sheet available. Also, there is a review sheet for the lab portion of the exam with solutions for this review sheet available. In addition, there is a special Maple Help page for the review sheet. The lecture material can be found in the notes for Separation of Variables and Integration by Substitution. PDF lectures notes for Separation of Variables (4-Panel) and Integration by Substitution (4-Panel) are available. The problems in WeBWorK called set ABioc2sepde are due by Tues. Nov. 22 at 4 AM and the set ABioc2intbysub are due by Tues. Nov. 29 at 4 AM. There are related homework problems in the text for the sections on Separation of Variables and Integration by Substitution. Solutions are available for Separation of Variables (with some complete solutions) and Integration by Substitution (with some complete solutions).

Week 12: This week continues techniques of integration and begins numerical integration. You will have Exam 3: Wed. Nov. 30 with Lab Exam 3: Mon. Dec. 5. There is a review sheet for the lecture portion of the exam with solutions for this review sheet available. Also, there is a review sheet for the lab portion of the exam with solutions for this review sheet available. In addition, there is a special Maple Help page for the review sheet. The lecture material can be found in the notes for Integration by Substitution and Riemann Sums and Numerical Integrations. PDF lectures notes for Integration by Substitution (4-Panel) and Riemann Sums and Numerical Integration (4-Panel) are available. The problems in WeBWorK called set ABioc2sepde are due by Tues. Nov. 22 at 4 AM, the set ABioc2intbysub are due by Tues. Nov. 29 at 4 AM, and set ABioc2riemann are due by Tues. Nov. 29 at 4 AM. There are related homework problems in the text for the sections on Integration by Substitution and Riemann Sums and Numerical Integration. Solutions are available for Integration by Substitution (with some complete solutions) and Riemann Sums and Numerical Integration (with some complete solutions).