764G07 · 15 credits · Basic level (G1N) · Inget huvudområde
Mathematical Analysis
Active · next start VT 2027
42%
passed the latest ordinary exam
TEN1 · 24 Mar 2026 · 24 students
41%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 133 students
98%
Harder than 98% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 56 students.
Part of 1 programme
Exam
TEN1 Examination 1
- VG
- G
- U
Ordinary exams
41% passed · 133 students
- 42%24
- 28%32
- 33%21
- 56%18
- 29%14
- 63%24
Re-exams
17% passed · 89 students
- 10%10
- 6%16
- 10%10
- 11%19
- 0%9
- 40%15
- 20%5
- 60%5
- Pass the re-exam: 17% (89 students), compared with 41% (133 students) on the ordinary exam
- Get VG: 6% (222 students)
Show small sittings (2)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 25%4
- 0%2
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Exam
TEN2 Examination 2
- VG
- G
- U
Ordinary exams
65% passed · 84 students
- 60%15
- 59%17
- 75%16
- 55%11
- 63%8
- 76%17
Re-exams
26% passed · 23 students
- 40%5
- 20%5
- 29%7
- 17%6
- Pass the re-exam: 26% (23 students), compared with 65% (84 students) on the ordinary exam
- Get VG: 10% (107 students)
Show small sittings (5)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 25%4
- 50%2
- 100%1
- 0%1
- 75%4
Other module
KTR1 Examination
- G
- U
Main rounds
24% passed · 126 students
- 18%34
- 22%32
- 26%27
- 35%20
- 23%13
Later rounds
No sittings with at least 5 students.
Other module
KTR2 Examination
- G
- U
Main rounds
37% passed · 51 students
- 40%10
- 41%22
- 32%19
Later rounds
38% passed · 24 students
- 50%12
- 25%12
- Pass a later round: 38% (24 students), compared with 37% (51 students) on the ordinary exam
Other module
KTR3 Examination
- VG
- G
- U
Main rounds
49% passed · 70 students
- 40%10
- 33%12
- 60%10
- 70%10
- 22%9
- 58%19
Later rounds
No sittings with at least 5 students.
- Get VG: 10% (70 students)
About the course
Aim
On completion of the course, the student should be able to
- read and interpret mathematical text
- use and explain definitions of important concepts and theorems in the course
- use arithmetical rules for limits, derivatives, primitive functions and integrals for functions in one variable
- analyse functions in one variable and draw conclusions about the properties of functions
- use standard techniques to determine primitive functions and definite integrals
- give expressions for and calculate geometric quantities
- use certain concepts of multivariable analysis
Content
The course contains:
- One variable calculus:
- Algebraic operations. Equations. Inequalities. Absolute value.
- Real and complex numbers. The Binomial theorem. Functions of one real variable.
- Polynomials. Exponential and logarithmic functions. Trigonometric functions.
- Limits. Derivative and continuity. Derivation rules. Properties of continuous functions. Extreme value. Largest and smallest value.
- Function studies. Primitive function. Integration with geometric applications such as area, arc length, area of rotation, volume of rotation. Generalised integrals.
- Taylor's formula. Maclaurin expansion of elementary functions with application to limit calculations.
- Differential equations of the first order.
- Control of results and partial results
- Multivariable analysis:
- Graphical interpretation of functions in two variables. Partial derivatives. Stationary points. Double integrals. Variable exchanges
- Examiner
- Malgorzata Wesolowska
- Main field of study
- Inget huvudområde