450a.html

Math 450a
Advanced Calculus I

The goal of this course is to understand why first year calculus "works." It is theoretical in nature. What are the exact meanings of limit, derivative, and integral, and why do they have the properties they do? This course may be thought of as a bridge from computationally oriented undergraduate calculus courses to the rigor and creativity of higher mathematics. Please expect to devote a generous amount of time to this course. Also, do not be afraid; if you put in the time and effort you will be rewarded with a deeper understanding of mathematics.

Class Meetings	Tuesday & Thursdays, 11 a.m. to 12:15, Live Oak 1317
Prerequisite	Math 320
Grading	There will be two midterm exams, each worth 100 points, and a final exam worth 200 points. There will also be some short quizzes, each worth 30 points. Class participation will resolve borderline grades, with the possibility, for example, of a final B+ grade becoming an A-, with constructive participation and volunteering solutions in class. Plus (+) and minus (–) grades will be assigned for this course. The dates of the midterms will be announced in class. Final Exam: Tuesday, December 12, 2017, 10:15 a.m. to 12:15 p.m.
Homework	Homework will usually be assigned each class meeting. For this course especially, it is extremely important to keep up with the assignments. Occasionally you will be asked to turn in your homework for evaluation. I encourage you to work together with other students in the class on the homework. We will devote some class time to solutions to the assignments.
Textbook	An Introduction to Analysis 4th edition, by William Wade. Coverage: Parts or all of Chapters 2 - 7. The text and the lectures are designed to augment each other and are both important.
Instructor Information	David Klein Santa Susana Hall, Room 127 Phone: (818) 677-7792 email: david.klein@csun.edu, web page: www.csun.edu/~vcmth00m Office Hours: Monday 12:15 to 1:15, Thursday 10 to 11 a.m., & by Appointment

Exams and Homework Assignments

Chap 1
pg 22, Exercise 1.3.0

Chap 2
Sect. 2.1, Exercises 2.1.0, 2.1.4b, 2.1.7
Sect. 2.2, Exercises 2.2.0, 2.2.1, 2.2.5
Sect. 2.3, Exercises 2.3.0, 2.3.2, 2.3.6
Sect. 2.4, Exercises 2.4.0a, 2.4.2, 2.4.8

Turn in your solution to 2.2.5 thurs Sept 14. Use complete sentences only and strive for maximum clarity.

Chap 3
Sect. 3.1, Exercises 3.1.0, 3.1.1abd, 3.1.3, 3.1.5, 3.1.6
Sect. 3.2, Exercises 3.2.0, 3.2.1a,e, 3.2.2a,f, 3.2.3, 3.2.4
Sect. 3.3, Exercises 3.3.0, 3.3.2, 3.3.4, 3.3.10
Sect. 3.4, Exercises 3.4.0, 3.4.2a,c, 3.4.5, 3.4.6

Turn in your solution to 3.4.5b,c Tues, Sept 26. Use complete sentences only and strive for maximum clarity.

Chap 4
Sect. 4.1, Exercises 4.1.0, 4.1.1, 4.1.2, 4.1.4, 4.1.5a
Sect. 4.2, Exercises 4.2.3, 4.2.5, 4.2.9
Sect. 4.3, Exercises 4.3.2, 4.3.3, 4.3.4, 4.3.7, 4.3.9, 4.3.12
Sect. 4.4, Exercises 4.4.0, 4.4.3, 4.4.5abcd, 4.4.6
Sect. 4.5, Exercises 4.5.0, 4.5.1, , 4.5.2, 4.5.3, 4.5.11

Quiz 1: Some exact homework problems through Sect. 4.4, Thursday, Oct.5

Exam 1: on all material through Sect. 4.5, Thursday, Oct.19

Chap 5
Sect. 5.1, Exercises 5.1.0, 5.1.2ab, 5.1.6, 5.1.8, 5.1.9
Sect. 5.2, Exercises 5.2.0, 5.2.1, 5.2.5, 5.2.6, 5.2.11
Sect. 5.3, Exercises 5.3.0ab, 5.3.1, 5.3.2, 5.3.7, 5.3.8, 5.3.9, 5.3.10
Sect. 5.4, Exercises 5.4.1, 5.4.2abc, 5.4.8, 5.4.9

Quiz 2: One homework problem and one definition or statement of a theorem from Sections 5.1, 5.2, 5.3, Thursday, Nov. 2.

Chap 6
Sect. 6.1, Exercises 6.1.0, 6.1.2ab, 6.1.3ab, 6.1.6, 6.1.9
Sect. 6.2, Exercises 6.2.0, 6.2.1, 6.2.2, 6.2.3, 6.2.6
Sect. 6.3, Exercises 6.3.0, 6.3.1, 6.3.2, 6.3.3a, 6.3.6, 6.3.7
Sect. 6.4, Exercises 6.4.0, 6.4.1, 6.4.4

Quiz 3: On homework problems, definitions, and/or statements of theorems from Chap 6, Tues, Nov. 21.

Chap 7
Sect. 7.1, Exercises 7.1.1, 7.1.2, 7.1.3, 7.1.5, 7.1.6, 7.1.7, 7.1.8, 7.1.11
Sect. 7.2, Exercises 7.2.1, 7.2.2, 7.2.4, 7.2.10
Sect. 7.3, Exercises 7.3.1, 7.3.2abc, 7.3.4, 7.3.5
Sect. 7.4, Exercises 7.4.1, 7.4.2a, 7.4.3abc, 7.4.4, 7.4.5, 7.4.7a

Exam 2: on covered material in Chapters 5, 6, 7 (through Sect. 7.4), Tues, Dec. 5

Sect. 7.5, Exercise 7.5.7

Final Exam: Tuesday, December 12, 2017, 10:15 a.m. to 12:15 p.m.

Student behavior, academic dishonesty, university policies

Please arrive on time and avoid leaving early. No text messaging. Cell phones should be turned off during class and all exams and quizzes. Seats may be reassigned during exams, and you must leave your ID on top of the desk. You will need to turn in an exam or quiz if you leave the room, so go to the bathroom beforehand. Academic Dishonesty is covered in Appendix C of the CSUN catalog. Academic dishonesty will be reported to the Office of Student Affairs. For information about CSUN's policy for academic dishonesty, see: http://www.csun.edu/catalog/policies/academic-dishonesty/

Note also that according to CSUN policy, a grade that is sanctioned due to academic dishonesty cannot be replaced by subsequent course grades:
http://www.csun.edu/catalog/policies/repeating-courses-grade-forgiveness-undergraduate/

This syllabus is subject to change during the semester. Any changes will be posted here and announced in class.