Advanced Calculus I, MATH 410, Section 0501, Spring 2017


Instructor: Christian Rosendal, office MTH 2113

Course webpage: http://homepages.math.uic.edu/~rosendal/WebpagesMathCourses/MATH410-2017umd.html

Required text: Advanced Calculus; 2nd edition, Patrick Fitzpatrick.

Extra notes: Conceptual Understanding

Old Exams.

Course syllabus: We shall cover chapters 1-9 of the book.

Course hours and location:
Monday - Wednesday - Friday, 10:00-10:50 AM in MTH 0102.

Office hours: Wednesday 3:15-5:00 in my office MTH 2113.

Reading: I will assign chapters from the book that I will try to cover every week. A good strategy is to read every section before it is covered in class, take notes and gain additional understanding during class, and the reread the section and do the assigned homework exercises at the end of the week. The material covered in exercises constitute an integral part of the exam syllabus and will greatly help you assimilate the theoretical material.

Homework: There will be 10 homework sets due over the course of the semester. These should be handed in to me at the beginning of class on the due date (in general Fridays). No late homework will be accepted, so any homework handed in after the deadline will be credited for 0 points. When calculating the homework grade, the two lowest scores will be dropped. So, e.g., if you have missed one homework set, even for justified reasons, then this will be counted as your lowest score.

Midterms: There will be three midterms each taking place during regular class hours. The dates are:
  • 1st midterm: Wednesday February 22nd.
    Extra midterm preparation exercises: 3.1.1, 3.1.7, 3.1.8, 3.1.9, 3.1.13, 3.2.1, 3.2.2, 3.2.3, 3.2.4, 3.3.1, 3.3.3, 3.3.4, 3.3.6
  • 2nd midterm: Wednesday March 15th.
  • 3rd midterm: Wednesday, April 19th.
The midterms and final exam will consist of exercises resembling the homework exercises. So doing exercises equals good exam preparation.

To be excused from a midterm you will need to provide a valid excuse and, in case of illness, a letter from the doctor to this effect. You will not have the chance to make up an exam, so if you are excused from a midterm your midterm grade will be the average of your other midterms. It is entirely your responsibility to be in time for an exam, not your alarm clock's.

Final exam:
  • Friday May 19th, 8:00-10:00 AM.

Grade: Your grade will be a weighted average of your homework, midterm, and final scores calculated as follows:
  • Homeworks: 20 %
  • Midterms: 40 %
  • Final: 40 %

Tentative weekly programme:
  • Week beginning on January 23rd: Read sections 1.1, 1.2, 1.3.
  • Week beginning on January 30th: Read sections 2.1, 2.2.
  • Week beginning on February 6th: Read sections 2.3, 2.4, 2.5.
  • Week beginning on February 13th: Read sections 3.1, 3.2, 3.3, 3.4.
  • Week beginning on February 20th: First midterm. Read sections 3.5, 3.6, 3.7.
  • Week beginning on February 27th: Read sections 4.1, 4.2, 4.3.
  • Week beginning on March 6th: Read sections 4.4, 4.5.
  • Week beginning on March 13th: Second midterm. Read sections 6.1, 6.2, 6.3.
  • Week beginning on March 27th: Read sections 6.4, 6.5, 6.6.
  • Week beginning on April 3rd: Read sections 7.1, 7.2, 7.3, 7.4.
  • Week beginning on April 10th: Read sections 8.1, 8.2, 8.3, 8.4.
  • Week beginning on April 17th: Third midterm. Read section 8.5.
  • Week beginning on April 24th: Read sections 8.6, 8.7.
  • Week beginning on May 1st: Read sections 9.1, 9.2, 9.3.
  • Week beginning on May 8th: 9.4, 9.5, 9.6.
Homework sets (please check weekly for updates):
    The numbers refer to the book, e.g., 2.4.5 refers to exercise 5 from section 4 of chapter 2.
  • Due February 3rd: 1.1.5, 1.1.16, 1.1.17, 1.2.1, 1.2.5, 1.2.6, 1.3.4, 1.3.6, 1.3.11
  • Due February 10th: 2.1.1, 2.1.3, 2.1.6, 2.1.8, 2.1.10, 2.1.18, 2.2.1, 2.2.3, 2.3.2, 2.3.5
  • Due February 17th: 2.3.6, 2.3.7, 2.3.10, 2.4.1, 2.4.10, 2.4.12, 2.5.3, 2.5.7, 2.5.8
  • Due March 3rd: 3.4.1, 3.4.2, 3.4.4, 3.4.5, 3.5.1, 3.5.2, 3.5.4, 3.5.6, 3.5.7, 3.6.1, 3.6.3, , 3.6.4, 3.6.6, 3.7.1, 3.7.6
  • Due March 10th: 4.1.1, 4.1.3, 4.1.8, 4.1.9, 4.1.12, 4.2.1, 4.2.2, 4.2.5, 4.2.9, 4.3.1, 4.3.4, 4.3.9, 4.3.10
  • Due March 31st: 4.4.1, 4.4.4, 4.4.5, 4.4.6, 6.1.1, 6.1.3, 6.1.4, 6.1.5, 6.1.6, 6.2.2, 6.2.4, 6.2.8
  • Due April 7th: 6.2.11, 6.2.12, 6.3.2, 6.4.1, 6.4.6, 6.4.9, 6.5.1
  • Due April 14th: 6.6.2, 6.6.3, 6.6.4, 6.6.5, 7.3.1, 7.3.6.
  • Due April 28th: 8.1.1, 8.1.3, 8.1.5, 8.2.1, 8.2.3, 8.2.10, 8.3.1, 8.3.3, 8.4.1, 8.4.2
  • Due May 5th: 9.1.1, 9.1.5, 9.1.7, 9.2.1, 9.2.3, 9.3.1, 9.3.4.
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