120101 ESM 1A - Single Variable Calculus

Course offering details

Instructors: Prof. Dr. Peter Oswald

Type: Lecture

Org-unit:

Course Name Abbreviation: ESM 1A

Hours per week: 3

Credits: 5.00

Min. | Max. participants: - | -

Partial Grades:
Final Exam (40%)
Home Work (20%)
Midterm Exam (20%)
Quizz(es) (20%)

Official Course Description:
The courses from the Engineering and Science Mathematics 1 series provide the foundation for all other Engineering and Science Mathematics courses. Taking at least one of them is mandatory for all Engineering and Science majors. Emphasis is on the use of basic mathematical concepts and methods in the sciences, rather than on detailed proofs of the underlying mathematical theory.

The course ESM 1A covers basic differential and integral calculus of functions of one variable. It starts with a brief review of number systems and elementary functions, then introduces limits (for both sequences and functions) and continuity, and finally derivatives and differentiation with applications (tangent problem, error propagation, minima/maxima, zero-finding, curve sketching). A short chapter introduces complex numbers.

The second half of the semester is devoted to integration (anti-derivatives and Riemann integral) with applications, and concluded by brief introductions to scalar separable and linear first-order differential equations, and the convergence of sequences and power series.

Compared to ESM 1C which covers similar material, this course assumes a rigorous high school preparation in Mathematics and leaves more room for explaining mathematical concepts (as needed for the majority of SES majors).

Literature
Primary Text
  • Calculus
Required Reading (To view a list click a category.)
Recommended Reading (To view a list click a category.)
Appointments
Date From To Room Instructors
1 Tue, 4. Sep. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
2 Th, 6. Sep. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
3 Tue, 11. Sep. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
4 Th, 13. Sep. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
5 Tue, 18. Sep. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
6 Th, 20. Sep. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
7 Tue, 25. Sep. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
8 Th, 27. Sep. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
9 Tue, 2. Oct. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
10 Th, 4. Oct. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
11 Tue, 9. Oct. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
12 Th, 11. Oct. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
13 Tue, 16. Oct. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
14 Th, 18. Oct. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
15 Th, 25. Oct. 2012 08:00 09:40 Lecture Hall Research IIIEast Wing Prof. Dr. Peter Oswald
16 Tue, 30. Oct. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
17 Th, 1. Nov. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
18 Tue, 6. Nov. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
19 Th, 8. Nov. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
20 Tue, 13. Nov. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
21 Th, 15. Nov. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
22 Tue, 20. Nov. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
23 Th, 22. Nov. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
24 Tue, 27. Nov. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
25 Th, 29. Nov. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
26 Tue, 4. Dec. 2012 09:45 11:00 Lecture Hall Research III Prof. Dr. Peter Oswald
27 Th, 6. Dec. 2012 08:15 09:30 Lecture Hall Research III Prof. Dr. Peter Oswald
Course specific exams
Description Date Instructors Mandatory
1. Final Exam Fri, 14. Dec. 2012 09:00-11:00 Prof. Dr. Peter Oswald No
2. Final Exam Time tbd No
1. Home Work No Date No
1. Midterm Exam Time tbd No
1. Quizz(es) No Date No
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Mathematical Sciences > Undergraduate Level Courses
Class Session Overview
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Instructors
Prof. Dr. Peter Oswald