Revised

Math 1700 Outline

Proposal



Section Topic Time (50 min. periods)
1.1 ℝ n 1
1.2 Graphs in ℝ 2 and ℝ 3 1
1.3 Algebra in ℝ n 1
1.4 The dot product 1
1.5 Determinants, areas, and volume 1 1/2
1.6 Equations of lines and planes 1
2.1 Functions 1
2.2 Functions and graphing technology.  Lightly 1
2.3 Functions from   ℝ to  ℝ n 1
2.4 The wrapping function and other functions 1
2.5 Sketching parametrized curves.  Quickly, some students have not seen this before. 1
2.6 Composition of functions 1 1/2
2.7 Building new functions,  Lightly, this appear again in Math 272. 1
3.1 Average velocity and average rate of change 1
3.2 Limits: an intuitive approach 1
3.3 Instantaneous rate of change: the derivative 1
3.4 Linear approximations of functions 1 1/2
3.5 More on limits 1
3.6 Limits: a formal approach 1
4.1 Sum and product rule, higher order derivatives 1 (+1/2)
4.2 The quotient rule 1
4.3 The chain rule 1
Supp. Derivatives of ln and exp functions 1
4.4 Implicit differentiation 1 1/2
4.5 Higher order Taylor polynomials  ???  Skip if you do not have time. 0
5.1 Asymptotes 1
5.2 Increasing and decreasing functions 1
5.4 Concavity 1
5.7 Applications of maxima and minima 1 1/2
5.8 The remainder theorem for Taylor polynomials  ???  Skip if you do not have time. 0
6.1 Antiderivatives and the integral 1
6.2 The chain rule in reverse (Substitution) 1 1/2
6.3 Acceleration, velocity, and position 1/2
6.4 Antiderivatives and Area 1
6.5 Area and Riemann Sums 1
6.6 The Definite Integral 1
6.8 FTC 1
38 1/2 Days