Description: Basic ideas of differential and integral calculus, with emphasis on models and techniques relevant to the life sciences.

Prerequisites: A grade of C- or better in MATH 115; or permission of department based on 3½ years of college preparatory mathematics (including trigonometry) and satisfactory performance on the Mathematics Placement Exam. Credit will only be granted to one of Math 120, Math 130, Math 136, or Math 140.

Topics:

Limits and Continuity

Limits of functions

Continuous functions

Derivatives and their Applications

Derivatives and their interpretation as rates of change

Derivatives of functions

Computing derivatives

Implicit differentiation and related rates

Applications of derivatives

Integration and Applications

Estimating the area under a curve and the horizontal axis

Antiderivatives and Fundamental Theorem of Calculus

Methods of integration

Applications of integration

An Introduction to Differential Equations

Separation of Variables

Equilibria and Limited Population Growth

Learning Outcomes: After completing this course, students should be able to demonstrate:

1. An understanding of basic differential and integral calculus concepts and their applications to life sciences including: limit, continuity, differentiation, and integration.

2. A mathematical understanding of biological data, including data collection, visualization/display, and analysis.

3. An understanding of continuous mathematical models of biological systems.

This course is an introduction to calculus for students in the
life sciences. Applications of calculus to these disciplines
form an important part of the study of life sciences. Concrete
calculations are emphasized and provide an opportunity to
practice algebraic skills introduced in earlier courses.

Text:

Mathematics
for
the Life Sciences, Bodine, Lenhart, and
Gross. Princeton University Press, 2014.

ISBN 9780691150727

Canvas:

You may
use your Canvas account to check your
grades.
Warning: Canvas is unreliable
in
computing averages.

Calculators:

No
calculators of any kind will be allowed during
exams. It may be useful

to have
an arithmetical calculator for the Wednesday
biology projects.

Order of
Topics:

Chapter

Topic

Number
of Lectures

15, 16

Limits

3

17, 18

Derivatives

3

19, 20

Computing and
Applying Derivatives

5

28

Implicit
Differentiation

2

21-23

Integration

5

25

Probability

2

26, 27

Differential Equations

4

Review
periods and Exams

5

Total
Lectures: 29

Exams:

Oct 3
(Thurs) and Nov 7 (Thurs)

Final
Exam: Dec. 11 (Wednesday), 1:30 - 3:30 p.m.
Final exam rooms: TBA

Resources:

Testbank archives of past exams: Since this is a
fairly new course, the only archived test is last Spring's
final.

Mathematics
Department walk-in
tutoring schedule – Tutors of Math 140 and 220 may
be able to spend some time with you, once they deal with
students in their courses. However, your prime source for
Math Dept. help will be the TA office hours listed above.

The
undergraduate office (the big window in math building
rotunda) has a list of private tutors.

You should bring
your university picture I.D. to all exams. Makeup
exams may be given foran excused absence, that
is only for valid medical reasons, University business,
appearances in court, or death (upon presentation of
your obituary). Make-up quizzes will not be
given. Any unexcused absences on quizzes, projects,
or exams will be counted as 0, including the final
exam. Any student with a valid reason to be excused
from an exam should contact me prior to the exam,
either by email or by phone, and present documentation
at the next class session attended.

If you need to be excused for a religious observance,
you should let me know as soon as possible, but in any
case no later than the end of the schedule adjustment
period. If you have a documented
disability and wish to discuss academic accommodations
with me, please contact me as soon as possible.
Please check your final exam schedule. If there is a
potential conflict, contact me during the schedule
adjustment period so we can discuss the situation.

E-MAIL: Students will get email throughout the
semester. Email is sent by a course reflector to email
addresses officially registered with the University, and
students are responsible for maintaining a correct
address. If your official email address is not correct,
then click here to
update it.

Please consult the
following website regarding university policy on
academic dishonesty: http://www.shc.umd.edu/code.html. You should be
familiar with the University's policies on Academic Integrity, including the Honor
Pledge.

Quiz and exam questions
will be similar if not identical to homework
questions. Any changes in the syllabus will be
announced in class and posted to the website. Extra help
is available during office hours and in the tutoring
room, MTH 0301.

General Information: I am
not assigning homework problems to be turned in, but it
will be useful to try the problems following each section.
There will be a quiz each Monday based on problems in the
previous week's sections. It is probably a good idea
to read the chapter the night before the lecture to get an
idea of what you want to be looking for in class. It
might also be useful to try some of the problems in
advance. When, after doing several problems, you
have understood the methods, feel free to simply read the
rest and if you can see how they are done don't bother
writing them down.

Tentative Schedule of
Lectures

Day

Date

Section

Tues

August
27

15.1

Thurs

29

15.2,
16.1

Tues

September 3

16.2,
16.3

Thurs

5

17.1~17.5

Tues

10

17.6,
18.1~
18.5

Thurs

12

19.1,
19.2, 18.6

Tues

17

19.3~19.5

Thurs

19

28.1

Tues

24

28.2

Thurs

26

28.3

Tues

October
1

Review

Thurs

3

Exam
I

Tues

8

20.1,
20.2

Thurs

10

20.4

Tues

15

20.5

Thurs

18

21.1~21.3

Tues

22

22.1~22.4

Thurs

24

22.5

Tues

29

23.1~23.2

Thurs

31

23.2

Tues

November
5

Review

Thurs

7

Exam
II

Tues

12

25.2

Thurs

14

25.3

Tues

19

27.1

Thurs

21

27.2

Tues

26

27.3

Tues

December
3

Review
(or catch up)

Thurs

5

Review

Tues

10

Study
Period*

Wed

11

Final
1:30-3:30

*On December 10, I will have
office hours (Math 2313), but whoever wants to may go
to ARM 0131 and go over problems together.

Grading:
The final grade will be based on 700
points: Midterm Exams (200 for higher grade +100 for
lower), Math Quizzes (best 8 at 12.5 points each),
Biology Projects (best 8 at
12.5 points each), and
Final Exam (200).

This Math 130 WEBPAGE will be kept up-to-date.

You are
responsible for checking updates of this page.