Math 108: Calculus I for Physical Sciences and Engineering
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.
There will be 10 problem sets (10% of final grade),
two in class midterm exams (25% each) and one final exam (40%).
Instructor
 Jacob Bernstein
 Email: bernstein@math.jhu.edu
 Office: Krieger 408.
Course Assistants
 Jin Zhou
 Email: jzhou39@math.jhu.edu
 Office: Krieger 211.
 Chris Kauffman
 Email: kauffman@math.jhu.edu
 Office: Krieger 200.
 Alex Popkin
 Email: apopkin2@jhu.edu
 Office: Krieger 411.
Lectures
 MWF 10:00–10:50 (Sections 1, 2 and 3) in Shaffer 101.
 MWF 11:00–11:50 (Sections 4 and 5) in Shaffer 101.
Sections
 T 1:30–2:20 (Section 1) in Maryland 110 (TA: Zhou).
 T 3:00–3:50 (Section 2) in Bloomberg 274 (TA: Zhou).
 Th 1:30–2:20 (Section 3) in Krieger 308 (TA: Kauffman).
 Th 4:30–5:20 (Section 4) in Krieger 300 (TA: Kauffman).
 Th 3:00–3:50 (Section 5) in Ames 234 (TA: Popkin).
Office Hours
 Bernstein: Monday, 12:302pm and Wendesday, 12:302pm or by appointment in Krieger 408.
 Zhou: Monday, 4:155:15pm, in Krieger 211.
 Kauffman: Wednesday, 4:305:30pm, in Krieger 200.
 Popkin: Thursday, 121pm, in Krieger 411.
Syllabus
The syllabus is here.
References
The course text is
 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. A copy is on reserve in the library.
Problem Sets
The problems sets will be due at the beginning of the section are registered for (so either Tuesday or Thursday depending on the section). Problems sets recieved after this time will be considered late and will recieve a grade of zero.
Remember:
 Staple your problem sets! Paper clips, folded corners, etc. are not acceptable.
 Clearly write: your name, your TA and your section number on the first page. If your homework is too messy or illegible, the grader may choose not to
grade it.
 You are premitted to work together. However, you must write up your own solutions in your own words. Failure to do so will be consided plagarism.
 Solving problems is the best way to learn math (or any subject). For that reason I highly encourage you to think about the assigned problems before working with others/seeking assistence.
Exams
There will be three exams. Two in class midterms and a comprehensive final.
The dates of the exames are
First Midterm: Wednesday, October 7.
Second Midterm: Wednesday, November 11.
Final Exam: Wednesday, December 9, 9am12pm. Location: Section 1 in Shaffer 2; Sections 25 in Shaffer 3.
No makeup exams will be offered 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.
Schedule (will be updated as the course progresses)
Try and read ahead  you will get more out of lecture.
Week 1 (8/28): Course logistics
Read: 1.1, Appendix A
No homework due.
Recitation will be held on 8/27
Week 2 (8/31 & 9/2 & 9/4): Sets and functions
Read: M: 1.2, 1.3; W: 1.4, 1.5; F: 2.1,2.2
No homework due.
Week 3 (9/9 & 9/11): Limits
Read: W: 2.2, 2.3 F: 2.4
Problem Set 1 due. Solutions to selected problems.
Week 4 (9/14 & 9/16 & 9/18): Limits, Continuity and Tangents
Read: M: 2.5; W: 2.6; F: 2.7,2.8
Problem Set 2 due. Solutions to selected problems.
Week 5 (9/21 & 9/23 & 9/25): Rules of Differentiation
Read: M: 3.1; W: 3.2, 3.3; F: 3.4
Problem Set 3 due. Solutions to selected problems.
Week 6 (9/28 & 9/30 & 10/2): Implicit Differentiation
Read: M: 3.5; W: 3.6, 3.7, 3.8; F: 3.9
Problem Set 4 due. Solutions to selected problems.
Practice Problems (NOT TO BE HANDED IN):
 Section 3.5: #3, #11, #15, #27, #31, #39, #39, #65, #77
 Section 3.6: #3, #19, #29, #51, #55
 Section 3.8: #3, #9, #15
 Section 3.9: #3, #7, #9
Week 7 (10/5 & 10/7 & 10/9): First Midterm and Linear approximations
Read: M: Review; W: EXAM; F: 3.10; Recommended Reading: 3.11
Practice Exams: one, two, three, four (w/solutions), five (solutions), six (solutions).
Solutions to the first midterm.
Week 8: (10/12 & 10/14 & 10/15): Mean Value Theorem
Read: M: 4.1; W. 4.2; Th: 4.3
Problem Set 5 due. Solutions to selected problems.
Week 9 (10/19 & 10/21 & 10/23): Curve Sketching
Read: M: 4.4; W: 4.5; F: 4.6
Problem Set 6 due. Solutions to selected problems.
Week 10 (10/26 & 10/28 & 10/30): Optimization and the Antiderivative
Read: M: 4.7; W: 4.9; F: 4.9
Problem Set 7 due. Solutions to selected problems.
Week 11 (11/2 & 11/4 & 11/6): Integration
Read: M: 5.1; W: 5.2; F: 5.2
Problem Set 8 due. Solutions to selected problems.
Week 12 (11/9 & 11/11 & 11/13): Second Midterm and Fundamental Theorem of Calculus
Read: M: Review; W: EXAM; F: 5.3
No homework due.
Practice Exams (note some of these exams occured later than ours and so cover material we haven't gotten to): one, two (solutions), three (w/solutions), four (w/solutions), five (solutions), six (solutions).
Solutions to the second midterm.
Week 13 (11/16 & 11/18 & 11/20): More Integration
Read: M: 5.4; W: 5.5; F: 6.1, 6.5
Problem Set 9 due. Solutions to selected problems.
Week 14: Happy Thanksgiving.
No homework due.
Week 15 (11/30 & 12/2 & 12/4): Applications of Integrals
Read: M: 6.2; W: 6.3, 8.1; F: 8.2
Problem Set 10 due. Solutions to selected problems.
Final Exam (12/9)
A Review Checklist.
Practice Exams: one, two , three (solutions), four (solutions), five (solutions).
Other resources
 Math Help Room. Located in 213 Kreiger Hall  check link for when it is open. Offers additional help from math graduate students.
 PILOT Learning. A peerlead team learning program.
 The Learning Den. Free tutoring offered by the university.
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.
