Course - Basic Calculus I - MA1101
MA1101 - Basic Calculus I
About
Examination arrangement
Course content
Basic properties of real numbers and real functions of a real variable; limits, continuity, differentiation and integration. The fundamental theorem of calculus and its applications are central. There is an emphasis on rigour.
Learning outcome
1. Knowledge. The student is familiar with central concepts of real analysis, including convergence; properties of the real numbers and of continuous, differentiable and integrable functions; linearization; the fundamental theorem of calculus. Moreover, the student is familiar with numerical methods for integration and equation solving. The student has more detailed knowledge of the properties of special functions such as polynomials, exponential functions, trigonometric functions and their inverses.
2. Skills. The student is able to apply techniques of integration and derivation in mathematical modeling, to derive simple mathematical results and to analyze functions. The student is able to set up and analyze simple mathematical models that require elementary optimization. The student is able to choose and implement suitable numeral methods for problems involving integration and equation solving, and to estimate the accuracy of the chosen method. Moreover, the student is able to read and write rigorous mathematical proofs related to the content of the course, including proofs based on induction.
Learning methods and activities
Lectures, compulsory exercises and mid-semester examination.
Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination (80%) and the mid-semester examination (20%). The mid-semester examination only counts if it has a positive effect on the final grade. The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (course grade) is given by the letter grading system. Retake of examination may be given as an oral examination.
Compulsory assignments
- Øvinger
Further on evaluation
In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation. see «Teaching methods and activities».
Recommended previous knowledge
The course is based on Mathematics R2 or 3MX from high school, or equivalent.
Course materials
Will be announced at the start of the course.
Credit reductions
Course code | Reduction | From | To |
---|---|---|---|
MNFMA100 | 7.5 | ||
MA6101 | 7.5 | ||
TMA4100 | 3.7 | ||
MA0001 | 6.0 | ||
MA0003 | 6.0 |
Version: 1
Credits:
7.5 SP
Study level: Foundation courses, level I
Term no.: 1
Teaching semester: AUTUMN 2018
Language of instruction: -
Location: Trondheim
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Portfolio assessment
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD Skriftlig eksamen 80/100 D 2018-12-11 09:00
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Room Building Number of candidates DI173 Idrettssenteret (Dragvoll) 0 SL274 Sluppenvegen 14 0 Storhall del 2 Idrettssenteret (Dragvoll) 0 - Autumn ORD Semesterprøve 20/100 D
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Room Building Number of candidates - Summer UTS Skriftlig eksamen 80/100 D
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Room Building Number of candidates - Summer UTS Semesterprøve 20/100 D
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Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"