FUNDAMENTAL CONCEPTS OF NUMBER AND COUNTING,SETS-THE ABC'S OF MATHEMATICS,SETS OF ORDERED PAIRS,CREATING NEW NUMBERS,ORGANIZING MATHEMATICAL SYSTEMS.
ADDING AND SUBTRACTING WHOLE NUMBERS,MULTIPLYING AND DIVIDING WHOLE NUMBERS,ADDING AND SUBTRACTING DECIMALS,MULTIPLYING AND DIVIDING DECIMALS,ADDING AND SUBTRACTING FRACTIONS.
PATTERNS IN CONTENT AND METHOD,PRIME DECOMPOSITION,CONGRUENCES,A CONCRETE VIEWS OF GROUPS,ABSTRACT GROUP THEORY.
INTRODUCTION TO SETS AND NUMBERS,VARIABLES, FUNCTIONS, AND MAPPINGS,SEQUENCES, LIMITS, AND CONTINUITY,COMPLEX NUMBERS AND VECTORS,DIFFERENTIATION OF FUNCTIONS OF ONE OR MORE REAL VARIABLES.
THE STRUCTURE OF OUR NUMBER SYSTEMS,LINEAR RELATIONS,THEORY OF EQUATIONS,MATRICES AND VECTORS,THE CIRCULAR FUNCTIONS.
SETS,RELATIONS,FUNCTIONS,GENERAL REVIEW AND SUMMARY.
INTRODUCTION,MULTIPLICATION AND DIVISION OF INTEGERS,FRACTIONS AND DECIMALS,INTRODUCTION TO MODELS AND PROBLEM SOLVING,USING MODELS AND CONVERSIONS.
MATHEMATICS: WHAT IS IT?,OLD ACQUAINTANCES REVISITED,SOME THINGS NEW.
FUNDAMENTALS,LINEAR ALGEBRA,CONVEXITY.