Re: Aki Ola Elective Mathematics Pdf
Stephanie Dejoode
A book to recommend is "proofs from the book" written by Martin Aigner and Günter M. Ziegler (with illustrations by Karl H. Hofmann). Although this is wriiten as a graduate level book. One can find materials suiatble for high school students. More importanly, it can greatly enhance the students' taste in modern mathematics.
Addendum:
I just remembered something you might find helpful, -to-present-mathematics-to-non-mathematicians this MO thread which was opened by yours truly, it deals with a different situation altogether (I was giving a 10 minutes presentation to non-mathematicians) but it has a nice list of topics that you can take and further analyze and deconstruct in your time.
Elementary number theory. This subject is interesting in its own right and will teach students how to write proofs, which is an essential skill if they are to study mathematics or tangential fields at university. It seems that many students are dissuaded from pursuing mathematics in university because calculus in high school is presented in a dry way, so a subject like number theory that is interesting in its own right should be what you should pick.
If you would like to petition for a class to count as an elective, please be prepared to provide either course material (such as exams or problem sets with solutions) or a course website URL which gives a clear indication about the level of math used throughout the course. You can submit your petition using this form.
Elective Mathematics is one of the subjects offered in the West African Senior School Certificate Examination (WASSCE) in English speaking West African countries: Nigeria, Ghana, Gambia, Sierra Leone and Liberia.Elective Maths is done in addition to Core Maths which is required for all students. The goal of teaching the subject is to equip students who would pursue further studies in fields that require additional mathematics with the requisite mathematical knowledge and facility.It covers most of the topics in A-level mathematics papers from Cambridge though it is a little easier.On the WASSCE examination papers, it is called Further Mathematics Elective).
The Mechanical and Biomedical Engineering Department has developed a list of pre-approved science and mathematics electives based on the following definitions of basic science and mathematics:
Elective Maths is done in addition to Core Maths which is required for all students. The goal for teaching the subject is to equip students who would pursue further studies in fields that require additional mathematics with the requisite mathematical knowledge and facility.
This paper reports on the longitudinal results of an online elective mathematics readiness initiative for undergraduate students majoring in science, technology, engineering and mathematics (STEM) at Boise State University. This initiative was put in place in summer of 2010, and over five years has involved 766 total users. It utilized an online commercial system for mathematics learning, focusing mainly on the content associated with preparation for Calculus and preparation for Pre-Calculus. Funding to enable the initiative was derived from the National Science Foundation under a Science, Talent Expansion Program grant. The licenses were issued to students who elected to participate and who then had 77 days of learning available to them. Incentives for participation were provided, including bookstore awards ($100 to $200) if a certain threshold for learning was achieved by the student. These thresholds included from 15 to 20 hours of learning, to 95% completion of course content. This paper reports on the methodology for recruiting students to the initiative, on the longitudinal results of students in subsequent mathematics as a function of effort put into their online mathematic review, on adjustments made to the initiative over time as we learned more about student behavior and motivation, and on student retention of this subset of students in STEM majors.
Not all mathematics courses are offered each year. To help students to plan their schedules, the following describes the frequency with which each course at the 200-level and above has recently been offered. These are subject to change according to student demand.
Although a student may begin the mathematics major as late as the fall semester of the sophomore year, the department recommends that prospective majors who have no prior calculus credit adopt the following typical schedule:
Many study away programs in English-speaking countries offer a wide range of mathematics courses that will count toward the major. For specific advice, please consult the department chair. Students who feel they are sufficiently proficient in a language to take mathematics courses in a foreign language should discuss this with their advisers. Students who take mathematics courses while away should be aware that universities that follow the European model cover the material in a somewhat different order than is done in the United States and that classes are primarily lectures with far less feedback from the instructor than is typical at Trinity.
Graduates with degrees in mathematics are in demand by the best employers and graduate schools. The program combines rigorous coursework with outstanding academic support from both professors and peers. Graduates can expect to be seen as attractive candidates by graduate schools or by employers in a variety of industries such as insurance, technology, engineering, education and manufacturing.
Physics 4 is the second half of an introductory, calculus-based physics course for science and mathematics majors. It is concerned with the laws and principles of electricity, magnetism,and optics, and includes and introduction to modern physics. Four hours lecture, two hours laboratory. This course fulfills the Scientific Inquiry and the Natural World thematic cluster requirement in the core curriculum.
Why study mathematics? Many of the new wonders that we take for granted in our modern technological society have mathematical ideas and applications as their basis, though this role is often hidden from view. Complex economic and planning decisions, scientific discoveries that improve our lives, and new technologies and products are often possible only after mathematical or statistical analysis, or a computer visualization, simulation, design and implementation based on mathematics. Therefore, mathematicians, as well as mathematically educated scientists, engineers and economists, make important daily contributions in the understanding and advancement of science, the improvement and discovery of new technology, and decision-making and planning in business, industry and government. Students interested in using their mathematical skills in solving real world problems are well prepared, by majoring or minoring in mathematics, for careers such as in the insurance industry, software design, data and systems analysis, scientific computing, combustion research, the animated movie industry, and cryptanalysis to name a few, or a graduate degree in a related technical field. Those students with a very strong interest in mathematics itself can pursue graduate study in mathematics in preparation for careers as university or college mathematics teachers and in the development of new mathematical and statistical concepts and methods as researchers in academia, government and industry.
The curriculum of the program in the Department of Mathematics is designed to provide a broad education in both theoretical and applied mathematics. It also develops the scientific knowledge and the problem solving, computing, and communications skills that are critical to a successful mathematically based career. This preparation is greatly enhanced by taking advantage of the wide variety of science and engineering courses available to students and developing good communications skills, both through technical courses and the strong humanities program. The program offers a solid grounding in the foundational areas of calculus, differential equations, linear algebra, discrete and combinatorial algebra, and probability and statistics. These basic courses are complemented by a varied selection of upper division courses for further elective study in areas such as numerical analysis, operations research, advanced statistics, mathematical modeling, optimization, and other advanced topics in mathematics. Students are encouraged to develop a strong background in an area of science or engineering through election of courses leading to a minor or double major. By appropriate course selection students may complete a double major in mathematics and another field such as computer science, physics, chemistry, applied biology, or economics.
For students seeking a major in mathematics, the curriculum prepares them for a mathematically based career after graduation or further graduate study. The major builds upon the goals and objectives of the freshman and sophomore curriculum. In addition to a deeper and broader study of mathematics, majors will further develop their ability to formulate and solve problems from a mathematical perspective, become familiar with the use of mathematics in other fields, and develop competence at the application of mathematics to at least one other field. Graduates will also be able to use technology effectively in mathematics and the application of mathematics. To complement these technical skills graduates will learn the professional skills of effective communication with both technical and non-technical audiences and the ability to work cooperatively with others.
DEGREE REQUIREMENTS
Major Concentrations: Mathematics majors choose to complete their program in one of four concentrations: Mathematics, Continuous Applied Mathematics, Discrete Applied Mathematics, or Statistics and Operations Research. The Mathematics concentration provides the foundational mathematical depth of a traditional mathematics major and is intended for students planning on graduate study in an area of mathematics. In applied mathematics there are two areas: the Continuous Applied Mathematics concentration and the Discrete Applied Mathematics concentration. Students selecting these concentrations may tailor their programs to interface with another major or to enhance industrial employment or graduate school opportunities. The Statistics and Operations Research concentration is recommended for students pursuing careers in actuarial science, graduate study in statistics, or employment in government or industry in a statistical capacity. It is strongly recommended that students considering graduate education in mathematics include MA 376 Abstract Algebra among their elective mathematics courses. Upon graduation a student may request the Head of the Mathematics Department to issue a letter attesting to the fact that the requirements in the chosen concentration have been completed.