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, minima7;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, 2. Sep. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
2 Th, 4. Sep. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
3 Tue, 9. Sep. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
4 Th, 11. Sep. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
5 Tue, 16. Sep. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
6 Th, 18. Sep. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
7 Tue, 23. Sep. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
8 Th, 25. Sep. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
9 Tue, 30. Sep. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
10 Th, 2. Oct. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
11 Tue, 7. Oct. 2014 09:30 11:15 IRC Conference HallEast Wing Prof. Dr. Ivan B. Penkov
12 Th, 9. Oct. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
13 Tue, 14. Oct. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
14 Th, 16. Oct. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
15 Th, 23. Oct. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
16 Tue, 28. Oct. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
17 Th, 30. Oct. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
18 Tue, 4. Nov. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
19 Th, 6. Nov. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
20 Tue, 11. Nov. 2014 09:30 11:15 Lecture Hall Research IIEast Wing Prof. Dr. Ivan B. Penkov
21 Th, 13. Nov. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
22 Tue, 18. Nov. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
23 Th, 20. Nov. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
24 Tue, 25. Nov. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
25 Th, 27. Nov. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
26 Tue, 2. Dec. 2014 09:45 11:00 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
27 Th, 4. Dec. 2014 08:15 09:30 Lecture Hall Research II Prof. Dr. Ivan B. Penkov
28 Tue, 16. Dec. 2014 16:00 18:00 IRC Conference HallEast Wing Prof. Dr. Ivan B. Penkov
Course specific exams
Description Date Instructors Mandatory
1. Final Grade No Date No
2. Final Grade No Date No
Contained in course catalogues
Course catalogue
Course Catalogue > Engineering and Science > Mathematical Sciences > Undergraduate Level Courses
Class Session Overview
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
Instructors
Prof. Dr. Ivan B. Penkov