MATH 151: Calculus II
Test #2 Review topics
March 14, 2026
Average value of a function in an interval
Applications of integration to mechanics: computing work done when stretching springs or moving objects
Probability density function
Uniform, exponential, and normal density functions
Mean (expected value) of a probability density function
Sequences: explicit and recursive definitions
Limit of a sequence: definition, meaning, convergence vs. divergence
Theorems about limits of sequences: function, squeeze, absolute value, continuous function
Monotonic and bounded sequences
Geometric sequence and its limit
Series: definition and convergence; partial sums; summation notation
Geometric series, finite and infinite sums of geometric series
Repeating decimals as rational numbers
Telescoping series
Theorem about convergent series and its consequences
The integral test of convergence
P-series and its convergence
The comparison test of convergence
The limit comparison test of convergence
Estimating sum of a series with the use of remainder estimate
The alternating series test
Alternating sum estimation theorem
Absolute convergence