**These homeworks are copyrighted material, posted here for use by
SchoolNova students and parents. Everyone else is welcome to print a copy of these materials for their personal use;
any redistribution or commercial use is prohibited**

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**09/17**: Algebra classwork: Baseline review | Geometry classwork: Baseline review |

Solve the unsolved problems from the baseline review test and past years' placement tests.

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**09/24**: Algebra classwork: Elements of mathematical logic. Notations. | Geometry classwork: Commensurate segments. Euclidean algorithm. | Homework: Assignment for Oct 1 | - Assigned on
**10/1**: Algebra classwork: Mathematical logic. Predicates. Quantifiers. | Geometry classwork: Thales intercept theorem. Similarity. | Homework: Assignment for Oct. 15 | - Assigned on
**10/15**: Algebra classwork: Mathematical induction. Homework review. | Homework: Assignment for Oct 22 | - Assigned on
**10/22**: Algebra classwork: Mathematical induction (contd). Homework review. | Geometry classwork: Direct and inverse Ceva theorem. Homework review. | Homework: Assignment for Oct. 29 | - Assigned on
**10/29**: Algebra classwork: Arithmetic-Geometric mean inequality. | Geometry classwork: Similarity, homothety, central symmetry. | Homework: Assignment for Nov 5 | - Assigned on
**11/5**: Geometry classwork: The center of mass and method of mass points | Homework: Assignment for Nov 12 | - Assigned on
**11/12**: Algebra classwork: Recap: Elements of number theory. | Geometry classwork: The Inscribed Angle Theorem. Rowland circle. | Homework: Assignment for Nov 19 | - Assigned on
**11/19**: Algebra classwork: Euclid's algorithm and continued fractions | Geometry classwork: Point masses. Extended Ceva and Menelaus theorems | Homework: Assignment for Dec 3 | - Assigned on
**12/3**: Algebra classwork: Introduction to set theory | Geometry classwork: Mass points problems. Pappus theorem. | Homework: Assignment for Dec 10 | - Assigned on
**12/10**: Algebra classwork: Set counting: inclusion exclusion principle | Geometry classwork: Euclid's theorems. Euler's theorem. | Homework: Assignment for Dec 17 |

You do not need to solve problems on material not covered in class yet, eg Ptolemy's theorem.

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**12/17**: Geometry classwork: Ptolemy theorem. The nine point circle problem. | Homework: Assignment for January 7 | - Assigned on
**01/7**: Algebra classwork: Cartesian product of sets. Homework review. | Geometry classwork: Method of coordinates. Apollonius problem. | Homework: Assignment for Jan 14 |

Since we did not have time to consider new topics - please look through the problems and try solving where you can using your previous knowledge

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**01/14**: Algebra classwork: Maps. Functions. Injections surjections bijections | Homework: Assignment for Jan 21 | - Assigned on
**01/21**: Algebra classwork: Equivalence relations on sets. Partitions. | Geometry classwork: Method of coordinates: curves of the second degree | Homework: Assignment for Jan 21 | - Assigned on
**01/28**: Algebra classwork: Comparing finite and infinite sets. Cardinality | Geometry classwork: Ellipse, hyperbola, parabola (contd) | Homework: Assignment for Feb 4 | - Assigned on
**02/4**: Algebra classwork: Number sets. Real numbers. | Geometry classwork: Optical properties of the curves of the 2nd degree | Homework: Assignment for Feb 11 | - Assigned on
**02/11**: Algebra classwork: Powers and roots. Homework review | Geometry classwork: Sine and cosine theorems. Trigonometry. | Homework: Assignment for Feb 25 | - Assigned on
**02/25**: Algebra classwork: Polynomials and factorization. Vieta theorem. | Geometry classwork: Trigonometric formulas and equations | Homework: Assignment for March 3 | - Assigned on
**03/3**: Algebra classwork: Functions and graphs. Exponent and Logarithm. | Geometry classwork: Trigonometry homework review. | Homework: Assignment for March 10 | - Assigned on
**03/10**: Algebra classwork: Trigonometric series. Homework review. | Geometry classwork: Vectors. Dot product. | Homework: Assignment for March 17 | - Assigned on
**03/17**: Algebra classwork: Complex numbers | Geometry classwork: Solving vector problems | Homework: Assignment for March 24 | - Assigned on
**03/24**: Algebra classwork: Complex numbers. de Moivre formula. n-th root | Homework: Assignment for Apr 7 | - Assigned on
**04/7**: Geometry classwork: Inversive Geometry (part 1) | Homework: Assignment for Apr 14 |

Solve problems 3-6 from the previous complex numbers homework. From the new homework on inversive geometry, solve problems 1-2. If you have time, try solving other problems, primarily complete the previous homeworks on complex numbers.

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**04/14**: Homework: Assignment for April 21 |

Continue studying the inversive geometry handout from April 7. Solve the unsolved problems from the last homework and try completing the problems in the present homework.

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**04/21**: Geometry classwork: Inversive Geometry (part 2) | Homework: Assignment for May 5 | - Assigned on
**05/5**: Algebra classwork: Complex numbers. Euler's formula. Trigonometry rev | Homework: Assignment for May 12 | - Assigned on
**05/12**: Classwork: Complex numbers wrap-up. Formula Cardano. | Homework: Assignment for May 19 |

Review the classwork handouts on complex numbers. Complete the previous homework assignments. Some problems are repeated – skip those that you have already solved. The test on May 19 will be based on the problems in this assignment.

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