**Course: Math 118, Fundamental Principles of Calculus, Fall 2018, Section 39441**

**Prerequisite:** Math 108 or Math 117 or Placement exam in Math.

**Course Content:** Derivatives; extrema. Definite integral; fundamental theorem of calculus. Extrema and definite integrals for functions of several variables. Not available for credit toward a degree in mathematics.

**Syllabus:** here*. Last update:* 19 September 2018

**Instructor:** Steven Heilman, stevenmheilman(@-symbol)gmail.com

**Office Hours:** Mondays, 11AM-12PM, 1PM-230PM, KAP 406G

**Lecture Meeting Time/Location:** Mondays, Wednesdays, and Fridays,
12PM-1250PM, SOS B46

**TA:** Mengsha Yao, mengshay(@-symbol)usc.edu

**Discussion Section Meeting Time/Location**:

- 39442, Tuesdays and Thursdays, 8AM-850AM, KAP 165
- 39443, Tuesdays and Thursdays, 9AM-950AM, KAP 165

- My email address for this course is stevenmheilman@gmail.com
- It is your responsibility to make sure you are receiving emails from stevenmheilman@gmail.com , and they are not being sent to your spam folder.
- Do NOT email me with questions that can be answered from the syllabus.
- Homework questions sent to me by email will be answered altogether in the form of a "digest." I will get to every question, but I cannot reply to every email. This digest will be sent out typically two days before the homework is due. So, one digest will answer online homework questions on Sunday, and another digest will answer quiz questions around Tuesday.

https://dsp.usc.edu/

213-740-0776 (phone)

213-740-6948 (TDD only)

213-740-8216 (fax)

ability@usc.edu

- Online homework will be due on Tuesdays at 11PM PST. Since computer issues are possible, I recommend that you complete the online homework well before this deadline.
- Online homework is accessible under the "Content" tab of the blackboard course site. The default homework settings (subject to change) allow ten attempts per question, with a 25% score penalty and hint after the fifth attempt.
- If you miss the deadline for the homework, then the number of days it is late will be deducted from the score, with at least a 20% score reduction. (The estimate of the number of days is rounded arbitrarily and not guaranteed to be accurate.)
- All online homework scores will be finalized at 8:00PM on the last day of class (November 30), i.e. your online homework score cannot change after this time.
- I will not answer any questions related to technical issues with the wileyplus system. For technical support, see Wileyplus Tech Support or send an email to tokorche@usc.edu
- You may not use the internet to try to find answers to homework problems.
- The lowest two online homework scores will be dropped. This policy is meant to account for illnesses, emergencies, etc.
- Do not submit homework via email.
- In addition to the online homework due on Tuesday, there will be several quizzes occurring in discussion section on Thursdays. (See the quiz policy below.)
- A random subset of the homework problems will be graded each week. However, it is strongly recommended that you try to complete the entire homework assignment.
- Collaboration on homeworks is allowed and encouraged.
- All homework assignments must be
**written by you**, i.e. you cannot copy someone else`s solution verbatim. - Label your homework with the lecture number and the discussion section number.
- Quiz solutions will be posted each Saturday, after the quizzes occur.
- Reading the syllabus counts as one homework grade. In order to receive credit for reading the syllabus, you must read the syllabus by August 24, 5PM PST.

- There will be several quizzes throughout the semester, as listed in the schedule below. Each week, a list of quiz problems will be posted on the course website. The quiz will have a few problems similar or identical to the posted list of problems. The quiz could also repeat a question from the online homework.
- The
**lowest two**quiz scores will be dropped. This policy is meant to account for illnesses, emergencies, etc. - Quizzes will be administered in your discussion section on Thursday. Each quiz should last about 15 minutes.
- No notes, no books, no calculators, etc. will be allowed during the quizzes.

- The final course grade is weighted as the larger of the following two schemes. Scheme 1: online homework (5%), quizzes (10%), the first midterm (20%), the second midterm (25%), and the final (40%). Scheme 2: online homework (5%), quizzes (10%), largest midterm grade (35%), final (50%). The grade for the semester will be curved. However, anyone who exceeds my expectations in the class by showing A-level performance on the exams and homeworks will receive an A for the class.
- If you cannot attend one of the exams, you must notify me within the first two weeks of the start of the quarter. Later requests for rescheduling will most likely be denied.
- You must attend the final exam to pass the course.
- Since this class has a coordinated final, you cannot take the final at any time other than its schedule time. If you are passing the class at the time of the final, and if you are unable to attend the final, you will be assigned an Incomplete grade and then take the final of 118 in the next semester. If you are not passing the class at the time of the final, you cannot receive an Incomplete grade.
- Since this class has a coordinated final, the curve for your final course grade will take into account your performance compared to all students in all sections of the 118 course this semester.

** Tentative Schedule**: (This schedule may change slightly during the course.)

Week | Monday | Tuesday | Wednesday | Thursday | Friday |

1 | Aug 20: Introduction, The Calculus Paradigm | Aug 21 | Aug 22: 1.1, 2.1, Limit Laws, Continuity | Aug 23: Quiz in Section (based on Q1). Read the Syllabus | Aug 24: 2.1, Evaluating Limits |

2 | Aug 27: 2.1, Intermediate Value Theorem | Aug 28: Online Homework 1 due | Aug 29: 2.1, Derivatives | Aug 30: Quiz in Section (based on Q2) | Aug 31: 2.2, 2.3, 3.1, Derivative as a Function |

3 | Sep 3: No class (Labor Day) | Sep 4: Online Homework 2 due | Sep 5: 3.4, Product and Quotient Rule | Sep 6: Quiz in Section (based on Q3) | Sep 7: 3.3, Chain Rule |

4 | Sep 10: 2.4, Higher Derivatives | Sep 11: Online Homework 3 due | Sep 12: 3.2, Exponential Functions | Sep 13: Quiz in Section (based on Q4) | Sep 14: 3.2, Inverse Functions |

5 | Sep 17: 3.2, Logarithmic Functions | Sep 18: Online Homework 4 due | Sep 19: 2.3, Linear Approximation | Sep 20: No quiz | Sep 21: 4.1, Extreme Values and Optimization |

6 | Sep 24: First Midterm | Sep 25: No homework due | Sep 26: 4.2, 4.3, Graph Sketching, Mean Value Theorem | Sep 27: Quiz in Section (based on Q5) | Sep 28: 4.4, Applied Optimization |

7 | Oct 1: 5.1, 5.2, Definite Integral | Oct 2: Online Homework 5 due | Oct 3: 5.3, 5.4, Definite Integral | Oct 4: Quiz in Section (based on Q6) | Oct 5: 7.1, Indefinite Integral |

8 | Oct 8: 5.5, Fundamental Theorem of Calculus | Oct 9: Online Homework 6 due | Oct 10: 5.5, Fundamental Theorem of Calculus | Oct 11: Quiz in Section (based on Q7) | Oct 12: 7.2, Integration by Substitution, 6.1, Average Value |

9 | Oct 15: 7.4, Integration by Parts | Oct 16: Online Homework 7 due | Oct 17: 7.3, Improper Integrals | Oct 18: Quiz in Section (based on Q8) | Oct 19: Vectors in the Plane |

10 | Oct 22: Vectors in Three Dimensions | Oct 23: Online Homework 8 due | Oct 24: Dot Product | Oct 25: Quiz in Section (based on Q9) | Oct 26: Planes in Three Dimensions |

11 | Oct 29: 9.1, 9.2, Functions of Two or Three Variables | Oct 30: Online Homework 9 due | Oct 31: 9.3, Partial Derivatives | Nov 1: No quiz | Nov 2: Second Midterm |

12 | Nov 5: 9.4, Partial Derivatives | Nov 6: No Homework due | Nov 7: 9.4, Differentiability and Tangent Planes | Nov 8: Quiz in Section (based on Q10) | Nov 9: Gradient and Directional Derivatives |

13 | Nov 12: Gradient and Directional Derivatives | Nov 13: Online Homework 10 due | Nov 14: 9.5, Optimization | Nov 15: Quiz in Section (based on Q11) | Nov 16: 9.5, Optimization |

14 | Nov 19: 9.6, Lagrange Multipliers | Nov 20: Online Homework 11 due | Nov 21: No class (Thanksgiving) | Nov 22: No class (Thanksgiving) | Nov 23: No class (Thanksgiving) |

15 | Nov 26: Double Integrals | Nov 27: Online Homework 12 due | Nov 28: Triple Integrals | Nov 29: Quiz in Section (based on Q12) | Nov 30: Review of Course (last day of class) |

**Advice on succeeding in a math class:**

- Review the relevant course material
**before**you come to lecture. Consider reviewing course material a week or two before the semester starts. - When reading mathematics, use a pencil and paper to sketch the calculations that are performed by the author.
- Come to class with questions, so you can get more out of the
lecture. Also, finish your homework at
least
**two days**before it is due, to alleviate deadline stress. - Write a rough draft and a separate final draft for your homework. This procedure will help you catch mistakes.
- If you are having difficulty with the material or a particular homework problem, review Polya's Problem Solving Strategies, and come to office hours.