Advanced Calculus I, MATH 410, Section 0601, Fall 2016


Instructor: Christian Rosendal, office MTH 2113

Course webpage: http://homepages.math.uic.edu/~rosendal/WebpagesMathCourses/MATH410-2016umd.html

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

Extra notes: Conceptual Understanding

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

Course hours and location:
Monday - Wednesday - Friday, 2:00-2:50 in MTH 0104.

Office hours: Wednesday 3:15-5:00 in my office MTH 2113.
If you have other classes scheduled on Wednesday, you can come Mondays 1:00-1:50.

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 September 28th.
    Covers chapters 1,2 and sections 3.1, 3.2, 3.3, 3.4.
    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, 3.4.1, 3.4.2, 3.4.4, 3.4.5
  • 2nd midterm: Wednesday October 26th.
    Covers chapters 1, 2, 3, 4, 5, sections 6.1, 6.2.
    Extra midterm preparation exercises: 6.1.1, 6.1.3, 6.1.4, 6.1.5, 6.1.6, 6.2.2, 6.2.4, 6.2.8, 6.2.11, 6.2.12
  • 3rd midterm: Monday November 21st.
    Extra midterm preparation exercises: 8.5.4, 8.5.5, 8.5.7, 8.6.1, 8.6.2, 8.6.4, 8.7.4, 8.7.5, 8.7.6, 8.7.8
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:
  • Saturday December 17th, 1:30-3:30.
    Extra exam preparation exercises: 9.4.1, 9.4.2, 9.4.3, 9.4.4, 9.5.1, 9.5.2, 9.5.3, 9.5.4, 9.5.6, 9.5.7, 9.5.8, 9.6.1, 9.6.2, 9.6.3, 9.6.4

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 August 29th: Read sections 1.1, 1.2, 1.3.
  • Week beginning on September 5th (note Monday is off due to Labor day): Read sections 2.1, 2.2.
  • Week beginning on September 12th: Read sections 2.3, 2.4, 2.5.
  • Week beginning on september 19th: Read sections 3.1, 3.2, 3.3, 3.4.
  • Week beginning on September 26th: First midterm. Read sections 3.5, 3.6, 3.7.
  • Week beginning on October 3rd: Read sections 4.1, 4.2, 4.3.
  • Week beginning on October 10th: Read sections 4.4, 4.5, 5.1, 5.2, 5.3, 5.4.
  • Week beginning on October 17th: Read sections 6.1, 6.2, 6.3.
  • Week beginning on October 24th: Second midterm. Read sections 6.4, 6.5, 6.6.
  • Week beginning on October 31st: Read sections 7.1, 7.2, 7.3, 7.4.
  • Week beginning on November 7th: Read sections 8.1, 8.2, 8.3, 8.4.
  • Week beginning on November 14th: Read sections 8.5, 8.6, 8.7.
  • Week beginning on November 21st (Thanksgiving holiday): Third midterm.
  • Week beginning on November 28th: Read sections 9.1, 9.2, 9.3.
  • Week beginning on December 5th: 9.4, 9.5, 9.6.
  • Week beginning on December 12th: December 12th is last day of classes.
Homework sets:
    The numbers refer to the book, e.g., 2.4.5 refers to exercise 5 from chapter 2, section 4.
  • Due September 9th: 1.1.5, 1.1.16, 1.2.1, 1.2.5, 1.2.6, 1.3.4, 1.3.6, 1.3.11
  • Due September 16th: 2.1.1, 2.1.3, 2.1.6, 2.1.8, 2.1.10, 2.1.18, 2.2.1, 2.2.3
  • Due September 23rd: 2.3.2, 2.3.5, 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 October 7th: 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 October 14th: 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 October 21st: 4.4.1, 4.4.4, 4.4.5, 4.4.6, 5.2.1, 5.2.2, 5.2.3, 5.2.11, 5.2.12
  • Due November 4th: 6.3.2, 6.4.1, 6.4.6, 6.4.9, 6.5.1
  • Due November 11th: 6.6.2, 6.6.3, 6.6.4, 6.6.5, 7.1.1, 7.1.2, 7.1.5, 7.3.1, 7.3.6.
  • Due November 18th: 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 Monday December 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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