Math 108: Calculus I for Physical Sciences and Engineering

Fall 2016

Course Description

This is the first course in the calculus sequence. Topics covered in the course will include, basic properties of functions, limits, derivatives, integration and applications.

 

Instructor and TAs

Hang Xu

Email: hxu@math.jhu.edu

Office Location: Krieger Hall Rm 220

Office Hours: MW 12:30-1:30 pm

 

David Chan

Email: dchan12@jhu.edu

Office Location: Krieger Hall Rm 207

Office Hours: M 3:00-4:00 pm, W 2:45-3:45 pm

 

Keaton Stubis

Email: kstubis1@jhu.edu

Office Location: Krieger Hall Rm 211

Office Hours: T 2:00-3:00 pm, 4:00-5:00 pm

 

Lecture

MWF 10:00-10:50 (Sections 1, 2 and 3) at Shaffer 100

MWF 11:00-11:50 (Sections 4 and 5) at Shaffer 100

 

Sections

T   1:30-2:20 (Section 1)  Maryland 104 (TA: David Chan)

Th 1:30-2:20 (Section 3)  Shaffer 300     (TA: David Chan)

Th 4:30-5:20 (Section 4)  Shaffer 202     (TA: Keaton Stubis)

Th 3:00-3:50 (Section 5)  Shaffer 301     (TA: Keaton Stubis)

 

Textbook

Single Variable Calculus: Early Transcendentals (8th Edition), James Stewart.

All references to the page numbers, chapters and problems correspond to this edition of the textbook.

 

Grading

is based on 500 points distributed as follows:

12 homework problem sets, worth 10 points each, due at the beginning of the section are registered for (so either Tuesday or Thursday depending on the section). The lowest two scores will be dropped.

1st Midterm on October 10 in lecture, worth 100 points.

2nd Midterm on November 16 in lecture, worth 100 points.

Final on December 13, 9:00 am-12:00 pm, worth 200 points.

Course Policies

No late homework is accepted. Staple your problem sets!  

No makeup exams in this course. If you have to miss an exam for a documented, legitimate reason, then your final grade will be calculated using your other exam grades.

You are responsible for lecture notes, any course material handed out, and attendance in class. The lectures will be conducted as if you have already read the material and attempted some homework problems.  In this manner, you can focus mainly on those parts of the lectures that cover the areas of your reading you found difficulty to understand.

 

If you have any math questions, please feel free to ask me anytime. You can find me after lectures, in office hours, or you can reach me by email. Please refer the questions that are related to your homework and exams to your TA first. This is because I do not grade or keep your coursework.

 

Other resources

Students with disabilities

Students with documented disabilities or other special needs who require accommodation must register with Student Disability Services. After that, remind the instructor of the specific needs at two weeks prior to each exam; the instructor must be provided with the official letter stating all the needs from Student Disability Services.

JHU ethics statement

The strength of the university depends on academic and personal integrity. In this course, you must be honest and truthful. Ethical violations include cheating on exams, plagiarism, reuse of assignments, improper use of the Internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition.

Report any violations you witness to the instructor. You may consult the associate dean of students and/or the chairman of the Ethics Board beforehand. Read the "Statement on Ethics" at the Ethics Board website for more information.

 

 

 

 

Tentative Schedule (will be updated as the course progresses)

Homework will be posted by every Tuesday and due in the next week at the beginning of your section (either Tuesday or Thursday depending on your section time).

Week 1 (9/2): Functions

1.1

No homework due.

Recitation will be held on 9/1.

Week 2 (9/7 & 9/9): Sets and functions

W: 1.2, 1.3; F: 1.3, 1.4.

No homework due.

Homework 1:  Section 1.1: 3, 7, 30, 31, 34, 45, 55, 69, 73.

Section 1.2: 3, 10, 11, 17.

Section 1.3: 1, 5, 14, 18, 37, 43, 52.

Section 1.4: 3, 4, 15, 19, 21.

 

Week 3 (9/12 & 9/14 & 9/16): Limits

M: 1.5  W: 2.1, 2.2 F: 2.3

Homework 1 due.

Homework 2:  Section 1.5: 18, 21, 23, 26, 35, 37, 41, 47, 52, 66, 70.

Section 2.1:  2.

Section 2.2:  1, 6, 9, 16, 29, 33.

Section 2.3:  2, 5, 11, 15.

 

Week 4 (9/19 & 9/21 & 9/23): Limits, Continuity and Tangents

M: 2.4; W: 2.5; F: 2.6

Homework 2 due.

Homework 3:  Section 2.3: 21, 26, 39, 44, 47, 52, 62.

Section 2.4:  3, 31, 36.

Section 2.5:  4, 5, 6, 17, 20, 36, 46, 53, 58 a).

Section 2.6:  3, 7, 15.

Week 5 (9/26 & 9/28 & 9/30): Rules of Differentiation

M: 2.7 ; W: 2.8 3.1; F: 3.1 3.2

Homework 3 due.

Homework 4:  Section 2.6: 19, 27, 35, 38, 47, 50, 63.

Section 2.7:  13, 22, 31, 35, 41.

Section 2.8:  3(Do not need to give reasons), 4, 9, 23, 27, 44, 61.

Section 3.1:  37, 46.

 

Week 6 (10/3 & 10/5 & 10/7): More Rules of Differentiation

M: 3.3; W: 3.4 3.5; F: Review

Homework 4 due.

Homework 5:  Section 3.1:  23, 25, 26, 55, 58.

Section 3.2:  20, 25, 43, 48, 49.

Section 3.3:  5, 9, 16, 40, 41, 46.

Section 3.4:  8, 17, 26, 31, 37.

 

Practice Exam.

Week 7 (10/10 & 10/12 & 10/14): First Midterm

M: Midterm 1; W:3.5; F: 3.6

Homework 5 due.

Homework 6:  Section 3.4:  50, 77.

Section 3.5:  5, 14, 17, 29, 38, 51, 58.

Section 3.6:  3, 8, 15, 41, 43, 48.

Week 8: (10/17 & 10/19 & 10/20): Linear Approximation, Max and Min

M: 3.9 ; W. 3.10; Th: 4.1

Homework 6 due.

Homework 7:  Section 3.9: 14, 15, 30, 33, 46.

Section 3.10:  2, 11, 15, 19, 23, 33, 36.

Section 4.1:  47, 51, 54, 59, 77.

 

Week 9 (10/24 & 10/26 & 10/28): Applications of Differentiation  

M: 4.2; W: 4.3; F: 4.4

Homework 7 due.

Homework 8:  Section 4.2: 11, 19, 21, 27, 36.

Section 4.3:  6, 9, 13, 26, 52, 88.

Section 4.4:  14, 19, 23, 31, 40.

 

Week 10 (10/31 & 11/2 & 11/4): LHospitals Rule and the Antiderivative

M: 4.4; W: 4.7; F: 4.9

Homework 8 due.

Homework 9:  Section 4.4: 47, 55, 57, 60, 79.

Section 4.7:  5, 22, 25, 37, 65.

Section 4.9:  3, 9, 15, 17, 22, 25. 

Week 11 (11/7 & 11/9 & 11/11): Integration

M: 4.9; W: 5.1; F: 5.2

Homework 9 due.

 

 

Homework 10: Section 4.9:  40, 45, 51, 59, 74.

 Section 5.1:  3, 13.

 Section 5.2:  5, 17, 18. 

 

Practice exam. 

Week 12 (11/14 & 11/16 & 11/18): Second Midterm and Fundamental Theorem of Calculus

M: Review; W: EXAM; F: 5.3

Homework 10 due.

Homework 11: Section 5.2:  38, 39, 51, 53, 57.

  Section 5.3:  3, 9, 11, 13, 15, 19, 23, 35, 37, 43, 60, 62, 73. 

 

Week 13: Happy Thanksgiving.

No homework due.

Week 14 (11/28 & 11/30 & 12/2): More Integration

M: 5.4; W: 5.5; F: 6.1.

Homework 11 due.

Homework 12: Section 5.4:  53, 60, 63.

 Section 5.5:  7, 15, 21, 39, 41, 45, 54, 59, 66, 67, 87.

 Section 6.1:  1, 3, 14, 19, 25, 57. 

 

Week 15 (12/5 & 12/7 & 12/9): Applications of Integrals

M: 6.2; W: 6.3 ; F: 8.1

Homework 12 due.

Suggested Problems:  Section 6.2:  7, 13, 15.

            Section 6.5: 2, 7.

            Section 8.1: 9, 12.

 

Final Exam (12/13)

It is a close-book and notes exam. No Calculator is allowed. Please bring the photo ID with you to the exam.