Calculus 128 Fall 2019 Main Course Page

# Mathematics is not a spectator sport!

• Working out problems is the only way to learn mathematics.
• By doing the problems you can gauge how well you understand the course material.
• The homework problems and class examples are representative of the types of problems that will appear on the examinations.

Final Exam     December 17th, 3:30 PM - 5:30 PM

You need to bring with you: your calculator (no cellphone calculators),
2 #2 pencils, and your UMASS STUDENT ID.

TA Review Sessions (solutions will be posted following each)

Exam 1 Reviews: Fall 2015 , Fall 2017

#### EXAM 1 Keys

PINK         (910244):  ACCBB   CDBCA  DABorC CB   DBCDB   ACBBC
YELLOW (910255):   DBAAB   CCDCD   ABCDC   BDCBB   DCACD

Exam 2 Reviews: Fall 2015 , Fall 2017

#### EXAM 2 Keys

PINK         (910242):  DADCA   ABCBC  DAABAorC   AABBD   DACCB
YELLOW (910231):   CDABA   BCBDB   BCDBC   ABDDD   CCBAD

# Extra help and resources

• Instructor office hours

• Calculus Tutoring Center (CTC), LGRT 140, M-Th 3-8pm (except on days of a 127/128 exam)

• Khan Academy: Excellent resource for reviewing algebra/trigonometry/geometry and course material.

• Wolfram Alpha: symbolic differentiation and integration, numerical integration, 2D/3D plottting, and more!

## Course chair

Hans Johnston, LGRT 1526, 545-2817, johnston@math.umass.edu, and sending an email to this address is the best way, except for in person, to contact/talk_with me.

## Description

Math 128 is a continuation of MATH 127 (Calculus for Life and Social Sciences I). This course covers elementary techniques of integration, introduction to differential equations, applications to several mathematical models in the life and social sciences, and multivariate functions and partial derivatives.

## Text

Applied Calculus, 4th edition (Hughes-Hallet), available as an ebook with your WileyPLUS account. If interested, you should be able to find a used copy of the physical book online.

## Syllabus

• 6.1 Average Value
• 6.2 Consumer and Producer Surplus
• 6.3 Present and Future Value
• 6.4 Integrating Relative Growth Rates
• 7.1 Constructing Antiderivatives Analytically
• 7.2 Integration by Substitution
• 7.3 Using the Fundamental Theorem to Find Definite Integrals
• 7.4 Integration by Parts
• 8.1 Density Functions
• 8.2 Cumulative Distribution Functions and Probability
• 8.3 The Median and the Mean
• 9.1 Understanding Functions of Two Variables
• 9.2 Contour Diagrams
• 9.3 Partial Derivatives
• 9.4 Computing Partial Derivatives Algebraically
• 9.5 Critical Points and Optimization
• 9.6 Constrained Optimization
• 10.1 Mathematical Modeling: Setting Up a Differential Equation
• 10.2 Solutions to Differential Equations
• 10.4 Exponential Growth and Decay
• 10.5 Applications and Modeling

## Calculator

A calculator with integration capabilities is required for this course: Something like the TI 83/84, etc. will be fine. Calculators are necessary for all exams.

## Homework

Homework assignments will be assigned and completed through WileyPLUS. WileyPLUS is an online homework and course study system. It also contains an e-book of your textbook. Since the homework system comes with an e-book the hard copy of the textbook is optional.

## Exams

There will be two evening exams (7:00 - 8:30 PM) and a final exam following a multiple-choice format. At each exam, students will need to bring a #2 pencil, a calculator and a UMass student ID card. Failing to produce an ID may result in the exam not being scored.

Exam 1  :   Tues October 15th
Exam 2  :   Mon November 18th
Final       :   Tues 12/17 3:30-5:30 PM

Makeup exams will only be given for reasons described in the UMass Amherst Class Absence Policy here.

Note: There are no re-takes of exams. If an emergency situation arises, and you are unable to take an exam, contact your instructor within 48 hours of the exam to schedule a make-up exam.

The grading of the course will be as follows. There will be a final exam worth 30%, two exams during the semester worth 25% each, and 20% for the online WileyPLUS homework. Your lowest three homework grades will be dropped, excluding the two mandatory review homeworks . There is no extra credit in the course.