Instructor: Xudong Zheng

Office: 313 Krieger Hall

Email: xzheng@math.jhu.edu

Tel: +1-(410)-516-0156

**Lectures:** MWF 10:00 - 10:50 Levering Arellano

**Office Hours: ** 12:30 - 1:30 pm on Mondays and Wednesdays

**Textbook:** Calculus for Biology and Medicine (3rd Edition) Claudia Neuhauser, Prentice Hall

**Syllabus:** pdf.

**Announcements: **

- Dec. 11.
**The final exam will take place on Wednesday, December 13. The standard examing time is from 9AM-12 noon. Exam venues:**

Section 2 and 3: Levering Arellano

Section 1 and 4: Hodson 210

- Dec. 7. The third concept sheet, the rubrics of HW 8 and 10, the lecture notes of the last couple of lectures are available.

**TA sections:**

- 1. Benjamin Dees (bdees1@jhu.edu) T 4:30 - 5:20, Bloomberg 176
- 2. Benjamin Dees T 3:00 - 3:50, Maryland 104
- 3. Aurel Malapani (amalapa1@jhu.edu) Th 3:00 - 3:50, Bloomberg 278
- 4. Aurel Malapani Th 1:30 - 2:20, Maryland 201

**Midterm 1: in class, Friday, September 29.
Midterm 2: in class, Friday November 3.
Final Exam: TBA.**

**Brief description: ** The sequel to 106 Calculus I for the Biological and Social Sciences, this course will continue to develop the tools of calculus. We will start by reviewing and further expanding our ability to compute integrals. From there, we will put our knowledge of calculus to work in solving differential equations, which are ubiquitous in both mathematics and the sciences. We will then take a long detour through linear algebra (the study of systems of linear equations), which in addition to being useful in its own right, will put us in good shape to study systems of differential equations later in the course. We will also spend some time studying functions of many variables and generalize some of the tools of Calculus I to the context of many variables. Finally, we will conclude the class with a study of probability and statistics. One of the most satisfying things about this class will be seeing how the many tools we develop interact with each other. All of the topics we study are essential tools in many subjects in the sciences, and we will make connections to them where possible.

**Grade Policy: **
The following components contribute to your total grades. Grades will be regularly updated in Blackboard.

- Homework assignments 3% each, 30% total
- Mid-term exams 15% each, 30% total
- Final exam 40%

**Lecture Notes:** Hand-written notes will be posted here after each lecture.

- Rational Functions
- Improper Integrals
- Ordinary Differential Equations
- Equilibria and Their Stabilities
- Linear Systems and Matrices
- Matrices
- Eigenvalues
- Eigenvalues II
- Inner Products
- Analytic Geometry
- Multivariable Functions
- Limits and Continuity of Multivariable Functions
- Partial Derivatives
- Tangent Plane, Linearization
- Directional Derivatives
- Linear Systems of Differential Equations
- Applications of Linear Systems
- Counting
- Probability
- Random Variables
- Mean and variance
- Continuous Random Variables

**Handouts:**

- Integration by Parts
- Mid-term 1 Concept Sheet
- Mid-term 1 Key and Rubric
- Mid-term 2 Concept Sheet
- Concept Sheet 3

**Homework: ** Homework assignments will be posted on the course website regularly. Check the due dates in the syllabus. You are encouraged to do your homework in groups. You are required, however, to write up your homework on your own. There will be five problems from each homework set to be graded. The grades reflect both your analytical and reasoning skills on the graded problems and the completeness of the entire set. Problems marked with an asterisk are challenging, hence not required (5 graded problems will not include any such). Your TA and I will be more than happy to discuss about those challenging problems.

- How to write up homework solutions. Please see here and here for some examples from Professor Richard Brown's page.

- Aesthetics.
- Always staple your homework in order.
- Assure your full name recognizable on the first page.
- Cut or tear along the perforations of your spiral or ring binded nootbook.

- Homework 1 (due Sep 5 or 7, in recitation.) Key and Rubric
- Homework 2 (due Sep 12 or 14, in recitation.) Key and Rubric
- Homework 3 (due Sep 19 or 21, in recitation.) Key and Rubric
- Homework 4 (due Oct 3 or 5, in recitation.) Key and Rubric
- Homework 5 (due Oct 10 or 12, in recitation.) Key and Rubric
- Homework 6 (due Oct 17 or 19, in recitation.) Key and Rubric
- Homework 7 (due Oct 24 or 26, in recitation.) Key and Rubric
- Homework 8 (due Nov 7 or 9, in recitation.) Key and Rubric
- Homework 9 (due Nov 14 or 16, in recitation.)
- Homework 10 (due Nov 28 or 30, in recitation.) Key and Rubric

**PILOT Learning:** A peer-led team learning program that supports our students in the gateway science courses. PILOT Learning has been supporting students at JHU since 2008 and 97% of students would recommend PILOT to others. Students enrolled in PILOT are placed into groups of classmates and lead by a peer leader who has taken the course before and received an A or better. Each PILOT group meets for 2 hours per week for the entire semester to work on problem-sets that compliment homework problems and concepts that are taught in lecture. The peer leader (PILOT Leader) works as a facilitator who helps guide them through the problem but encourages conversations and collaborations from the group to spearhead the problem-solving.

**Help Room: 213 Kreiger Hall. **The hours are 9am - 9pm on Monday through Thursday, and 9am - 5pm on Friday. This free service is a very valuable way to get one-on-one help on the current material of a class from other students outside the course. It is staffed by graduate students and advanced undergraduates.

**Old announcements: **

- Nov. 17. HW 10 is posted. Happy Holiday!
- Oct. 27. A concept sheet is available under "Handouts".
**Mid-term two will take place on November 3, 10-10:50. Exam venues:**

Section 1 and 4: Levering Arellano

Section 2 and 3: Olin 305

- Oct. 25. HW 8 is available.
- Oct. 18. HW 7 is available. The mid-semester survey is finally constructed in "Course Content" in Blackboard. Please take a minute or two to provide us with your thoughts and suggestions.
- Oct. 10. HW 6 is available. Problem 7 (with asterisk) is challenging and not required.
**Oct. 2. Problem 7 in HW 4 is optional since it requires something I did not covered.**- Oct. 2. Mid-term one key and rubric is available under "Handouts". HW 5 is available. The exam is probably undercommented due to the time-limited grading period. I encourage everyone to come to talk to me or your TA for further explanation of the exam. The goal for you is to understand where some parts went wrong and how to fix them.
- Sep. 25. Mid-term one concept sheet is available under "Handouts".
- Sep. 24. Mid-term one extra TA office hours: Wednesday 6-9 pm, Math Help Room, Krieger 213.
- Sep. 21. Mid-term one to take place on September 29, 10-10:50. Exam venues:

Section 1 and 3: Levering Arellano

Section 2: Hodson 210

Section 4: Hodson 311 - Sep. 6. I posted my lecture notes on integration by parts from last year under "Handouts".
- Sep. 5. HW 2 is available.
- Aug. 31. Welcome to Calculus II, Math 107! HW 1 is available below under "Homework".