Last modified: 31 May 2022 13:05
This course deals with the theory of sequences and series, and discusses their applications to the theory of functions. It also gives an introduction to differential equations and the theory of functions of several variables. It provides the necessary mathematical background for further study in mathematics, computing science and other subjects.
| Study Type | Undergraduate | Level | 1 |
|---|---|---|---|
| Term | Second Term | Credit Points | 20 credits (10 ECTS credits) |
| Campus | Offshore | Sustained Study | No |
| Co-ordinators |
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This course is a continuation of Advanced Mathematics I-1. It further develops the theory of integration of a function of one variable. It introduces sequences and series and studies the notion of convergence. It also provides a first introduction to partial differentiation and ordinary differential equations, which are fundamental in applications of Mathematics to other sciences.
Syllabus
Second order ordinary differential equations: Theory and applications of linear equations with constant coefficients.
Information on contact teaching time is available from the course guide.
| Assessment Type | Summative | Weighting | 70 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Students have opportunity to discuss script |
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| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Conceptual | Analyse | Ability to determine appropriate techniques to compute improper integrals |
| Conceptual | Analyse | Ability to determine appropriate techniques to decide whether a series converges |
| Conceptual | Analyse | Ability to determine appropriate techniques to solve various ordinary differential equations of 1st- and 2nd order |
| Conceptual | Analyse | Ability to determine appropriate techniques to decide whether a sequence converges |
| Conceptual | Analyse | Ability to determine appropriate techniques to solve problems using partial differentiation |
| Conceptual | Understand | Ability to state and understand the main definitions and theorems of the course |
| Factual | Understand | Understand what it means for a sequence to converge |
| Factual | Understand | Understand the concept of partial differentiation |
| Factual | Understand | Understand what it means for a series to converge |
| Assessment Type | Summative | Weighting | 20 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Solutions provided |
|||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Conceptual | Analyse | Ability to determine appropriate techniques to decide whether a series converges |
| Conceptual | Analyse | Ability to determine appropriate techniques to solve various ordinary differential equations of 1st- and 2nd order |
| Conceptual | Analyse | Ability to determine appropriate techniques to decide whether a sequence converges |
| Conceptual | Analyse | Ability to determine appropriate techniques to solve problems using partial differentiation |
| Conceptual | Analyse | Ability to determine appropriate techniques to compute improper integrals |
| Conceptual | Understand | Ability to state and understand the main definitions and theorems of the course |
| Factual | Understand | Understand the concept of partial differentiation |
| Factual | Understand | Understand what it means for a series to converge |
| Factual | Understand | Understand what it means for a sequence to converge |
| Assessment Type | Summative | Weighting | 10 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Discussion |
|||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Conceptual | Analyse | Ability to determine appropriate techniques to decide whether a sequence converges |
| Conceptual | Analyse | Ability to determine appropriate techniques to solve problems using partial differentiation |
| Conceptual | Analyse | Ability to determine appropriate techniques to compute improper integrals |
| Conceptual | Analyse | Ability to determine appropriate techniques to decide whether a series converges |
| Conceptual | Analyse | Ability to determine appropriate techniques to solve various ordinary differential equations of 1st- and 2nd order |
| Conceptual | Understand | Ability to state and understand the main definitions and theorems of the course |
| Factual | Understand | Understand the concept of partial differentiation |
| Factual | Understand | Understand what it means for a series to converge |
| Factual | Understand | Understand what it means for a sequence to converge |
There are no assessments for this course.
| Assessment Type | Summative | Weighting | 100 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback | ||||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
|
|
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| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Conceptual | Understand | Ability to state and understand the main definitions and theorems of the course |
| Conceptual | Analyse | Ability to determine appropriate techniques to compute improper integrals |
| Factual | Understand | Understand what it means for a sequence to converge |
| Conceptual | Analyse | Ability to determine appropriate techniques to decide whether a sequence converges |
| Factual | Understand | Understand what it means for a series to converge |
| Conceptual | Analyse | Ability to determine appropriate techniques to decide whether a series converges |
| Factual | Understand | Understand the concept of partial differentiation |
| Conceptual | Analyse | Ability to determine appropriate techniques to solve problems using partial differentiation |
| Conceptual | Analyse | Ability to determine appropriate techniques to solve various ordinary differential equations of 1st- and 2nd order |
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