IDEAMATH Curriculum for the 2014 fall to 2015 summer


IDEA Math offers 18 levels of math courses (PC1, PC2, PCX, UC1, UC2, UC3, RC1, RC2, RC3, RP1, RP2, RP3, EC1, EC2, EC3, EP1, EP2, EP3) and 2 levels of joint math-physics courses, with each course consisting of three modules. (The leading letters of our courses P, U, R, E are taken in that order from the word pure; the middle letter C and P stands for “Computation Based” and “Proof Based” respectively.) As our programs occur during different times of the year and with differing lengths, we have tailored combinations of these modules to form various series of classes that we offer at our programs, with the goal always to best meet the needs of each group of students and to maximize their learning experience.

Our courses are intended for able students desiring to expand their mathematics knowledge far beyond regular classroom settings. We emphasize study skills (such as taking notes, oral and written presentations, and listening, etc.). We believe in studying math via problem solving as a medium to develop students’ learning interests and critical thinking abilities. Our courses cover a board range of topics with more depth than most contests require. While our programs are not intended to be boot camps for contest preparations, many of our students participate in contests and do well in them. The following table provides some simplified connections between our courses and certain math contests.

Math Course descriptions:    

PCX (Essential Computational Mathematics Part 3, covering materials from IDEAMATH PCXM1/PCXM2) IDEAMATH PCXM1 Related contests: AMC8, AMC10, MathCounts (chapter/state), EMCC; IDEAMATH PCXM2;

1. PC1 (Essential Computational Mathematics Part 1, covering materials from IDEAMATH Math 1 Part 1)               IDEAMATH PC1M1  Related contests: AMC8, MathCounts (school/chapter), EMCC;
              IDEAMATH PC1M2;

2. PC2 (Essential Computational Mathematics Part 2, covering materials from IDEAMATH Math 1 Part 2)
               IDEAMATH PC2M1 Related contests: AMC8, MathCounts (school/chapter), EMCC;
               IDEAMATH PC2M2;

3. PCX (Essential Computational Mathematics Part 3, covering materials from IDEAMATH PCXM1/PCXM2)
               IDEAMATH PCXM1 Related contests: AMC8, AMC10, MathCounts (chapter/state), EMCC;
               IDEAMATH PCXM2;

4. PC4 (Invitation to Computational Mathematics Part 1, covering materials IDEA MATH UC1M1/UC1M2)
             PC4-W1: IDEAMATH PC4M1 Related contests: AMC8, AMC10, MathCounts (chapter/state), EMCC;
             PC4-W2: IDEAMATH PC4M2;

5. UC1 (Invitation to Computational Mathematics Part 1, covering materials IDEA MATH UC1M1/UC1M2)
             UC1-W1:IDEAMATH UC1M1 Related contests: AMC8, AMC10, MathCounts (chapter/state), EMCC;
             UC1-W2:IDEAMATH UC1M2;

6. UC2 (Invitation to Computational Mathematics Part 2, covering materials IDEA MATH UC2M1/UC2M2)
             UC2-W1: IDEAMATH UC2M1 Related contests: AMC10, MathCounts (state/national), EMCC, ARML, AIME;
             UC2-W2: IDEAMATH UC2M2;

7. UC3 (Invitation to Computational Mathematics Part 3, covering materials IDEA MATH UC3M1/UC3M2)
             UC3-W1: IDEAMATH UC3M1 Related contests: AMC10, MathCounts (state/national), EMCC, ARML, HMNT, AIME;
             UC3-W2: IDEAMATH UC3M2;

8. RC1 (Enhancement of Computational Mathematics Part 1, covering materials IDEA MATH RC1M1/RC1M2)
             RC1-W1: IDEAMATH RC1M1 Related contests: AMC10, AMC12, ARML, HMNT, AIME;
             RC1-W2: IDEAMATH RC1M2;

9. RC2 (Enhancement of Computational Mathematics Part 1, covering materials IDEA MATH RC2M1/RC2M2)
             RC2-W1: IDEAMATH RC2M1 Related contests: AMC12, ARML, HMNT, AIME, HMMT;
             RC2-W2: IDEAMATH RC2M2;

10.RC3 (Enhancement of Computational Mathematics Part 3, covering materials IDEA MATH RC3M1/RC3M2)
             RC3-W1: IDEAMATH RC3M1 Related contests: AMC12, AIME, HMMT;;
             RC3-W2: IDEAMATH RC3M2;

11.RP1 (Elements of Mathematics Olympiad Part 1, covering materials IDEA MATH RP1M1/RP1M2)
             RP1-W1: IDEAMATH RP1M1 Related contests: ARML, HMNT, HMMT, USAJMO, EGMO, Putnam, USAMO, IMO;
             RP1-W2: IDEAMATH RP1M2;

12. RP2 (Elements of Mathematics Olympiad Part 2, covering materials IDEA MATH RP2M1/RP2M2)
             RP2-W1: IDEAMATH RP2M1 Related contests: ARML, HMMT, USAJMO, EGMO, Putnam, USAMO, IMO;
             RP2-W2: IDEAMATH RP2M2;

13. RP3 (Elements of Mathematics Olympiad Part 3, covering materials IDEA MATH RP3M1/RP3M2)
             RP3-W1: IDEAMATH RP3M1 Related contests: HMMT, USAJMO, EGMO, Putnam, USAMO, IMO;
             RP3-W2: IDEAMATH RP3M2;

14. EC1 (Challenges in Computational Mathematics Part 1, covering materials IDEA MATH EC1M1/EC1M2)
             EC1-W1: IDEAMATH EC1M1 Related contests: AIME, HMMT, Math Olympiad (EGMO, Putnam, USAMO, IMO, etc.);
             EC1-W2: IDEAMATH EC1M2;

15. EC2 (Challenges in Computational Mathematics Part 2, covering materials IDEA MATH EC2M1/EC2M2)
             EC2-W1: IDEAMATH EC2M1 Related contests: HMMT, Math Olympiad (EGMO, Putnam, USAMO, IMO, etc.);
             EC2-W2: IDEAMATH EC2M2;

16. EC3 (Challenges in Computational Mathematics Part 2, covering materials IDEA MATH EC3M1/EC3M2)
             EC2-W1: IDEAMATH EC2M1 Related contests: HMMT, Math Olympiad (EGMO, Putnam, USAMO, IMO, etc.);
             EC2-W2: IDEAMATH EC2M2;

17. EP1 (Challenges in Mathematics Olympiad Part 1, covering materials IDEA MATH EP1M1/EP1M2)
             EP1-W1: IDEAMATH EP1M1 Related contests: HMMT, Math Olympiad (EGMO, Putnam, USAMO, IMO, etc.);
             EP1-W2: IDEAMATH EP1M2;

18. EP2 (Challenges in Mathematics Olympiad Part 2, covering materials IDEA MATH EP2M1/EP2M2)
             EP2-W1: IDEAMATH EP2M1 Related contests: HMMT, Math Olympiad (EGMO, Putnam, USAMO, IMO, etc.);
             EP2-W2: IDEAMATH EP2M2;

19. EP3 EP3 (Challenges in Mathematics Olympiad Part 3, covering materials IDEA MATH EP3M1/EP3M2)
             EP3-W1: IDEAMATH EP3M1 Related contests: HMMT, Math Olympiad (EGMO, Putnam, USAMO, IMO, etc.);
             EP3-W2: IDEAMATH EP3M2;

Variations    

As our programs occur during different times of the year and with differing lengths, we have tailored combinations of our course modules to form various series of classes that we offer at our programs, always with the goal of best meeting the needs of each group of students and of maximizing their learning experience.

  • W-series are linked sequential courses offered at our weekend program and online program. These courses are designed to give students a coherent, continuous curriculum appropriate stage of their mathematical development; the focus is both on systematically building up important areas in mathematics as well as deepening and strengthening students’ understanding of concepts that they have previously been exposed to. Each course in this series has two sequential components (***-W1 and ***-W2); each component is designed for 30 academic hours (with ten 3-hour meetings).
    The two parts W1 and W2 (say, UC1-W1 and UC1-W2) combined form a regular course (say, UC1) we offer at our summer non-residential program.
  • C-series are contest courses. We offer these courses in the winter AMC123 program, when both MathCounts and the AMCs are fast approaching; as a result, these courses focus particularly on improving students' problem-solving and their ability to apply known techniques to more difficult problems. (For higher level courses, this also includes proof writing.) The materials are selected from our W-series.
  • E-series arare extended version courses, with an emphasis on knowledge development, problem solving, and proof writing. These series are offered at our residential summer program, which, as our longest program, allows for greater topic coverage. The materials include our W-series with additional supplements.

IDEAMATH Curriculum grid:    

  Lexington
Session 1
Lexington
Session 2
Online
Session 1
Online
Session 2
Winter Program
AMC123
San Jose
Summer
Residential
program

(12 teaching days)
Summer
Non-residential
program

(10 teaching days)
PC1
PC1M1/PC1M2
PC1-W1 PC1-W2     PC1-E PC1
PC2
PC2M1/PC2M2
PC2-W1 PC2-W2     PW2 PC2-E PC2
PC3
PC3M1/PC3M2
PC3-W1 PC3-W2     PW3 PC3-E PC3
PC4
PC4M1/PC4M2
PC4-W1 PC4-W2     PC4-E PC4
UC1
UC1M1/UC1M2
UC1-W1 UC1-W2 UC1-W1 UC1-W2 UC1-E UC1
UC2
UC2M1/UC2M2
UC2-W1 UC2-W2     UW2 UC2-E UC2
UC3
UC3M1/UC3M2
UC3-W1 UC3-W2     UW3 UC3-E UC3
RC1
RC1M1/RC1M2
RC1-W1 RC1-W2 RC1-W1 RC1-W2 RW1 RC1-E RC1
RC2
RC2M1/RC2M2
RC2-W1 RC2-W2       RC2-E RC2
RC3
RC3M1/RC3M2
        RW2    
RP1
RP1M1/RP1M2
          RP1-E RP1
RP2
RP2M1/RP2M2
    RP2-W1 RP2-W2 MO2 RP2-E RP2
RP3
RP3M1/RP3M2