120101 ESM 1A - Single Variable Calculus

Course offering details

Instructors: Prof. Dr. Ivan B. Penkov

Type: Lecture

Org-unit:

Course Name Abbreviation: ESM1A

Hours per week: 3

Credits: 5.00

Min. | Max. participants: - | -

Partial Grades:
Final Grade

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, 3. Sep. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
2 Th, 5. Sep. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
3 Tue, 10. Sep. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
4 Th, 12. Sep. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
5 Tue, 17. Sep. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
6 Th, 19. Sep. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
7 Tue, 24. Sep. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
8 Th, 26. Sep. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
9 Tue, 1. Oct. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
10 Tue, 8. Oct. 2013 09:30 11:15 East Wing Prof. Dr. Ivan B. Penkov
11 Th, 10. Oct. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
12 Tue, 15. Oct. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
13 Th, 17. Oct. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
14 Th, 24. Oct. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
15 Tue, 29. Oct. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
16 Th, 31. Oct. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
17 Tue, 5. Nov. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
18 Th, 7. Nov. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
19 Tue, 12. Nov. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
20 Th, 14. Nov. 2013 08:15 09:30 East Wing Prof. Dr. Ivan B. Penkov
21 Tue, 19. Nov. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
22 Th, 21. Nov. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
23 Tue, 26. Nov. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
24 Th, 28. Nov. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
25 Tue, 3. Dec. 2013 09:45 11:00 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
26 Th, 5. Dec. 2013 08:15 09:30 Lecture Hall Research III Prof. Dr. Ivan B. Penkov
27 Th, 12. Dec. 2013 16:00 18:00 East Wing Prof. Dr. Ivan B. Penkov
Course specific exams
Description Date Instructors Mandatory
1. Final Grade 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. Ivan B. Penkov