Department of Mathematics Syllabus
This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.
MAT 189: Advanced Problem Solving
Lecture(s) 
Sections 
Comments/Topics 
Week 1 
Lectures 1, 2 & 3: Choosing a good capstone project, examples of
(realistic) projects and how to choose a project. Guidelines for
effective research. Discussion possible areas of exploration suitable
for undergraduates (examples of past projects, suggestions cover all
areas of mathematics and its applications, 15 different projects
discussed). During first week students meet/discuss with the professor to discuss their interests and decide on a quarter project. Student will form teams (roughly 3 students each) and together explore one of the following seven possible areas (relevant courses are indicated):


Week 2 
Lecture 4: General guidelines for giving technical or scientific oral presentations (e.g, time, design of slides, content organization, how to organize a blackboard presentation). Introduction to LaTEX slides, powerpoint. â€œPreparing a Posterâ€. Teaching mathematics and talking to nonmathematicians. Lecture 5: General guidelines for good writing (Strunk and White). Discussion of Zinsser' book that explores the idea of writing as way of learning. Good writing reflects/helps clear thinking. Guidelines for Mathematical & Scientific writing guidelines. Lecture 6: Students officially start on their projects today. Presentations will begin, maximum of 5 slides. More on using LaTEX. Using Mathscinet, ZentralBlatt, BibTEX (bibliographic tools). 

Week 3 
Lecture 7: Students oral presentations in front of class, describing their projects. Lecture 8: Students oral presentations in front of class describing their projects. Lecture 9: Students oral presentations in front of class describing their projects. 

Week 4 
Lecture 10: Selected advanced topics from Mathematical Sciences that may help on projects (see sources). Relation to undergraduate mathematics coursework at UCD and how topics interrelate. Lecture 11: Selected advanced topics from Mathematical Sciences that may help on projects (see sources). Relation to undergraduate mathematics coursework at UCD and how topics interrelate. Lecture 12: Selected advanced topics from Mathematical Sciences may helpon projects. Relation to undergraduate mathematics coursework at UCD and how topics interrelate. IMPORTANT: First written Draft of project due today (end of fourth week). Students exchange papers and will receive comments from each other and from professor. 

Week 5 (halfway) 
Lecture 13: Problem solving strategies and how to develop a project. What is a proof and methodologies one can use to arrive to one. Lecture 14: Problem solving strategies and how to develop a project. What is a model and the role of data and computers? Tools of applied Mathematics. Lecture 15: Problem solving strategies and how to develop a project. 

Weeks 6 
Lecture 16: Discussion on careers in the mathematical sciences. Networking for jobs. Lecture 17: Guest lecture from industry, discussion on nonacademic jobs. Lecture 18: Graduate school: is it for you? IMPORTANT: Second draft version of projects due today. 

Weeks 7 
Lecture 19: Professor+TA lead workshop on revising fine tuning projects. Meetings with individual students in class. Lecture 20: Professor+TA lead workshop on revising fine tuning projects. Meetings with individual students in class. Lecture 21: Professor+TA lead workshop on revising fine tuning projects. Meetings with individual students in class. IMPORTANT: Third draft version of projects due today. 

Weeks 8 
Lecture 22: Professor+TA lead workshop on revising fine tuning projects. Meetings with individual students in class. Lecture 23: Professor+TA lead workshop on revising fine tuning projects. Meetings with individual students in class. Lecture 24: Professor+TA lead workshop on revising fine tuning projects. Meetings with individual students in class.
IMPORTANT: All students hand in fourth draft version of their projects. 

Weeks 9,10 & Finalsweek. 
Final presentations begin continue until finals week (max 25 minutes long per presentation). TA and Professor hear evaluate the presentations using rubric. Students expected to attend some presentations besides their own. 