In all we added over 50 examples in the main text and 100 exercises (counting parts). In this edition we streamlined the narrative in several sections, added more proofs, many examples worked out in detail, and numerous new exercises. The second edition includes a number of improvements based on recommendations from students and colleagues and on our own experience teaching the course over the last several years.
In this way, the lecture notes are suitable for teaching students of different backgrounds. Some other topics such as lower and upper semicontinuity, differentiation of convex functions, and generalized differentiation of non-differentiable convex functions can be used as optional mathematical projects. For instance, rather than introducing the topology of the real line to students, related topological concepts can be replaced by more familiar concepts such as open and closed intervals. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depending on the background of the students. The lecture notes also contain many well-selected exercises of various levels. The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. However, these concepts will be reinforced through rigorous proofs.
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You can purchase these packets at the PCC Bookstore, or download them from this webpage.
Students should be familiar with most of the concepts presented here after completing the calculus sequence. Several mathematics courses have supplemental packets that are required for the course.
Such a foundation is crucial for future study of deeper topics of analysis. Our goal in this set of lecture notes is to provide students with a strong foundation in mathematical analysis. This certificate does not qualify for licensure.Video lectures explaining problem solving strategies are available You can use this program as a "stepping stone" to the Mathematics Instructional Leader Specialization as all courses will apply to your program of study. Please complete the form below to indicate you are ready for the certification. Instructions for completing the Deepening Understanding of Mathematics Teaching and Learning Certificate of CompletionĬertificates of Completion are awarded for the Deepening Understanding of Mathematics Teaching and Learning Program as soon as you have completed the appropriate number of Content-Focused Pedagogy Courses and CI 518 Implementing Mathematics Reform. Please note: In accordance with OAR 58, at least fifty percent (50%) of the Mathematics Instructional Leader program coursework must have been completed within five years prior to the date of application for the specialization. Order official transcripts for any program coursework.Request for Licensure Recommendation Form.Program of Study Form ( PreK-grade 8 OR grades 6-12).Complete the appropriate forms below and pay fee.
Pdx edu math courses license#
Review Adding an Endorsement or Specialization to an Existing Oregon License Submit your Mathematics Instructional Leader (MIL) e-portfolio for scoring.Complete the 3 credit/90-hour supervised mathematics leadership practicum.Take 21 credits of required coursework for the PreK-8 specialization or 15 credits for the grades 6-12 specialization.Instructions for adding the the MIL Specialization to an Oregon teaching license
2021-2022ĬI 513 Enhancing Algebraic Thinking: Generalizations about OperationsĬI 515 Developing Geometric Thinking and ConceptsĬI 511 Examining Base Ten Numeration and OperationsĬI 541 Reasoning and Proving Across MathematicsĬI 514 Enhancing Algebraic Thinking: Patterns and FunctionsĬI 512 Examining Operations with Whole Numbers and FractionsĬI 519 Mathematics Leadership: Influencing and Facilitating ImprovementĬI 517 Developing Concepts of Data Analysis: Representing and Modeling with DataĬI 540 Modeling with and Using Representations with Mathematicsįor course descriptions, please consult the Bulletin, Class Schedule, or Program Google Site. Course schedule and descriptions provided below. Courses in this program are approved to count toward PSU’s Deepening Understanding of Mathematics Teaching and Learning Certificate of Completion or TSPC’s Mathematics Instructional Leader: preK-8 or grades 6-12 Specialization.
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