Date modified: Wed 2023-09-20 . 04:12 PM
Date created: Sat 2023-10-07 . 09:03 PM
# Math 7 Calculus 1 Syllabus **Instructor:** Bon-Soon Lin  **Textbook references:** - Calculus (Stewart, Clegg, Watson, 9E) - Calculus (Thomas, 12E) **Lecture times and location:** - Tuesdays, Wednesdays, Thursdays - 12:45 PM - 03:00 PM - Meet in-person at PV 175 **Class dates:** - Weeks 4 to 15 - First day: 9/19 (Tuesday) - Exam 1: 10/5 (Week 6 Thursday) - Exam 2: 10/26 (Week 9 Thursday) - Exam 3: 11/16 (Week 12 Thursday) - Last day / Final exam: 12/7 (Week 15 Thursday) **Office hours:** - To Be Determined: Tentatively 3-4 PM after class each day. **Math lab tutoring:** There is free tutoring available to you M-F 8 am-10 pm and Saturday 10 am - 630 pm. See website [https://www.smc.edu/student-support/academic-support/tutoring-centers/math-lab/](https://www.smc.edu/student-support/academic-support/tutoring-centers/math-lab/) ## Course information. You are expected to be an independent and responsible learner, so we can use our time together effectively. Since this is a 12-week course, the course would be quite fast paced. You are expected to have read the assigned section in the textbook for that day before we meet, or right after each class before the next. I invite you to ask questions and engage with people during our class meetings. And I hope our meetings are something you look forward to each week! We will try to follow the textbook rather closely, and do as many exercises from it. It is a great resource for problems! I recommend you find a copy of the textbook(s). If you can find an older edition that is fine as well (the material should roughly be the same).   ## Course description. This first course in calculus is intended primarily for science, technology, engineering and mathematics majors. Topics include limits, continuity, and derivatives and integrals of algebraic and trigonometric functions, with mathematical and physical applications. ## Main Course topics.  1. Brief review of functions, algebra, geometry, and trigonometry. 2. Limits and continuity. 3. Differentiation and application of derivatives. 4. Integration and application of integration. ## Course pre-requisite: Math 2, or Math 3 and Math 4: Algebra, geometry, and trigonometry. ## Student Learning Objectives. 1. Given an algebraic or trigonometric function, evaluate and apply limits and prove basic limit statements. 2. Given an algebraic or trigonometric function, differentiate the function and solve application problems involving differentiation. 3. Given an algebraic or trigonometric function, integrate the function and solve application problems involving integration. And upon completion of this course, the students will be able to: 1. Evaluate limits using basic limit theorems and the epsilon-delta definition. 2. State and apply the definition of continuity to determine a function's point of continuity and discontinuity. 3. Differentiate using basic derivative theorems, the definition of the derivative and implicit differentiation. 4. Integrate elementary functions using basic integral theorems and evaluate a definite integral as a limit using the definition of the definite integral. 5. Find the equation of the tangent line to the graph of a function. 6. Solve derivative application problems including optimization, related rates, linearization, sketching graphs of functions and rectilinear motion. 7. Solve integral application problems including area, volume, arclength, and work. 8. State and apply the Mean Value Theorem, Extreme Value Theorem, Intermediate Value Theorem, Fundamental Theorem of Calculus, and Newton's Method. ## Grading. 10% Homework (completion based, to be checked by each exam) 20% Exam 1: **10/5 (Week 6 Thursday)** 20% Exam 2: **10/26 (Week 9 Thursday)** 20% Exam 3: **11/16 (Week 12 Thursday)** 30% Final Exam: **12/7 (Week 15 Thursday)** Homework is completion based, and will be regularly assigned. You will upload them onto Canvas. It will be your responsibility to ask during class or office hours for questions you do not know how to do. The textbook problems have half the answers in the back for you to check. You want to do that, and check with each other. If you miss an exam, then your final exam will be counted that much more instead, but only if you let me know well in advanced, within reason. Missing more than one exam would be unreasonable. ## Academic Honesty. Each exam must be done by you and you alone. No other help, nor any technological assistance (no calculators, no internet). Academic dishonesty will result in an F in the course.