# First-Year Mathematics Honours Scheme

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#### Status message

Submissions for this form are closed. Available period: 2023-04-24 09:00 to 2023-05-11 23:59#### Goals

- To help first-year students prepare for MATH courses at the 1000 and 2000 level.
- To enhance an atmosphere that promotes the discussion of mathematics within the Department.

#### Activities for the First Semester 2023-24.

**Two classes** (`accelerated class', `non-accelerated class') are offered:---

- The
**accelerated class**is intended for students with**DSE**(or equivalent)**background**- who are doing
**MATH1018, MATH1038**.

- who are doing
- The
**non-accelerated class**is intended for students with**DSE**(or equivalent)**background**- who are doing
**MATH1010 and/or MATH1030**, and - who plan to
**graduate with major in mathematics**.

- who are doing

Accelerated class. | Non-accelerated class. | |
---|---|---|

Time. | Every Monday 1830-2030hrs, starting from 18/09. | Every Monday 1830-2030hrs, starting from 18/09. |

Venue. | LSK 304. | LSK 306. |

(There will be no class on 02/10, 23/10.)

Below is a **tentative list of topics** for the **non-acclerated class**. The schedule for the **accelerated class** will be adapted from this list.

- Weeks 3-6: absolute value, solving equation, inequality.
- Weeks 7-10: Trigonometry, infinite sequences, limit.
- Weeks 11-13: Differentiation, integration.

The **objective of the classes** is to help participants to acquire, through hands-on work and discussion on exercises, important **skills and techniques** needed by mathematics major students for the mastery of the content in most MATH required courses (including MATH1010/1018 and MATH1030/1038) in the curriculum.

- The accelerated class will focus on material in from the old
*HKALE Pure Mathematics*which is supplementary to MATH1018 and MATH1038. - The non-accelerated class will start with material in the old
*HKCEE Mathematics*and*Additional Mathematics*and gradually move on to material in the old*HKALE Pure Mathematics*.

#### Activities for Second Semester 2023-24.

Announcements will be made at this site in due course (probably in late December or early January), but most likely:---

- Classes will be offered on Monday evenings.
- These topics will be covered: Binomial Theorem, mathematical induction, complex number, polynomials and rational functions, Taylor's Theorem, advanced results on Riemann integrals.
- A test, open to all mathematics major students, will be arranged in mid-May (very likely on the Friday immediately before the beginning of the Summer Semester.)