Math 0700: Geometry
Non Credit Course
Offered in Lecture Format
Prerequisite required (MATH 0600 or Appropriate Placement-Test score)
SYLLABUS
- I. INTRODUCTION AND FUNDAMENTAL CONCEPTS
- A. Reasoning: Inductive and Deductive
- B. Undefined terms and basic definitions
- C. Angles
- D. Basic constructions
- E. Proofs
- F. Theorems
- II. CONGRUENT TRIANGLES AND BASIC THEOREMS
- A. Proving corresponding parts equal
- B. Theorems on isosceles triangles
- III. PARALLELS AND PARALLELOGRAMS
- A. Indirect proofs
- B. Angle sums (triangles and polygons)
- C. Parallelograms
- D. Rectangles/rhombus/trapezoid
- IV. AREAS
- A. Polygon areas
- B. Circle areas
- C. Pythagorean theorem
- D. Surface area and volume
- V. RATIO, PROPORTION, AND SIMILARITY
- VI. CIRCLES
- A. Arcs
- B. Chords and secants
- C. Tangents
- VII. LOCI
- A. Basic locus theorems
- B. Concurrence theorems
- VIII. REGULAR POLYGONS
- A. Circumscribed circles
- B. Inscribed circles
- *IX. LOGIC
- A. Validity
- B. Converses
- C. Contrapositives
- *X. INTRODUCTION TO ANALYTIC GEOMETRY
- A. Cartesian coordinate system
- B. Straight line
*Optional