MATH 1225 Syllabus
| Math 1225 Syllabus - FALL 2026 | ||||||
|---|---|---|---|---|---|---|
| Calculus: Early Transcendentals, 9th Edition, by James Stewart, with WebAssign Access | ||||||
| Week | Day | Section | Topic | Textbook | WebAssign (for Reference) |
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| Week 1 | Aug 24-28 | M | 2.2 | Introduction to Calculus, The Limit of a Function (limits using numerical approximations, graphs, one-sided limits) | p. 92 # 1, 2, 11, 15, 16 | # 6, 7, 9 |
| W | 2.2 | The Limit of a Function (Infinite Limits, VA) | p. 94 # 3, 30, 31, 33, 36, 37, 40, 42a, 51 Find V.A.(s) of f(x) = (x^2 + 5x + 6)/(x^2 + 2x - 3) |
# 31, 37, 40 | ||
| F | 2.3 | Calculating Limits Using the Limit Laws (Limit Laws, Graphical Limits) | p. 103 #52, 61, 62, 64 p. 167 T/F # 1-3, 6-9, 11 |
# 1, 2, 53 | ||
| Rec | Introduction to Calculus and Study Skills Mini-Course Limits from Graphs |
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| Week 2 | Aug 31 - Sep 04 | M | 2.3 | Calculating Limits Using the Limit Laws (Factoring, Trig Limits, Rationalizing) *Note trig limits can be found in Section 3.3 |
p. 103 #10, 16, 19, 29, 31 p. 198 #45, 52, 54, 60 p. 167 T/F # 4, 5, 10 |
2.3: # 2, 13, 15, 23 3.3: # 45, 51, 60 |
| W | 2.3/2.5 | Calculating Limits Using the Limit Laws (Absolute Value, Squeeze Theorem)/Continuity (Left/Right Continuous, Functions Continuous on Their Domains) | p. 103 # 39, 41, 42, 44, 45, 47, 48, 49 p. 124 # 9, 20, 22, 23, 50 p. 167 T/F # 24, 25 p. 171 # 3 |
2.3: # 43, 51, 54 2.5: # 6, 12, 22 |
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| F | 2.5 | Continuity (Intermediate Value Theorem) | p. 126 # 52, 54, 55, 58, 70 p. 167 T/F # 17, 23 p. 168 # 34; p. 172 # 8 |
# 57, 63 | ||
| Rec | Sections 2.2/2.3 | |||||
| Week 3
Test 0
|
Sep 07 - Sep 11 | M | No Class - Labor Day | |||
| W | 2.6 | Limits at Infinity; Horizontal Asymptotes | p. 137 # 4, 8, 18, 25, 26, 30, 36, 52, 55, 58, 59, 65a p. 167 T/F # 12, 13 |
# 3, 17, 51, 67, 68 | ||
| F | 2.7 | Derivatives and Rates of Change | p. 149 # 5, 8, 13, 18, 34, 36, 43, 44 p. 167 T/F # 20 |
# 8, 11, 15, 17, 36, 51, 55 | ||
| Rec | Sections 2.3 & 2.5 | |||||
| W | Test 0 [Sections 2.2 & 2.3] | |||||
| Week 4 | Sep 14 - Sep 18 | M | 2.8 | The Derivative as a Function | p. 163 # 23, 29, 32, 40, 42, 49, 57, 65 p. 167 T/F # 21, 22 p. 170 # 51 |
# 3, 16, 41 |
| W | 3.1/3.3 | Derivatives of Polynomials, Exponentials, and Trigonometric Functions | p. 181 # 10, 21, 22, 25, 28, 29, 41, 59, 61, 63, 70, 80, 81, 85 p. 197 # 4, 9, 19, 24, 29, 38, 39 (on [0,2π]), 45, 49, 52, 54, 56, 58, 60 p. 269 T/F # 1, 6, 7, 11, 14, 15 |
3.1: # 12, 21, 33, 41, 50, 51, 56, 70 3.3: # 7, 15, 29, 61 |
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| F | 3.2 | The Product and Quotient Rules | p. 188 # 6, 10, 23, 24, 29, 31, 37, 47, 48, 50, 63 p. 269 T/F # 2, 13 |
# 7, 17, 30, 33, 45, 51, 59 | ||
| Rec | Sections 2.6, 2.7, & 2.8 | |||||
| Week 5
Test 1
|
Sep 21 - Sep 25 | M | Test 1 [Sections 2.2, 2.3, 2.5, 2.6, 2.7, 2.8] | |||
| W | 3.4 | The Chain Rule | p. 206 # 3, 5, 29, 30, 32, 35, 38, 43 p. 269 T/F # 3, 4, 5 p. 207 # 65, 67, 71, 80, 83, 92, 93, 98a,b p. 275 # 18, 20 p. 269 T/F # 9, 10, 12 |
# 6, 7, 13, 22, 41, 51, 52, 56, 69, 77, 91 | ||
| F | 3.5 | Implicit Differentiation | p. 215 # 10, 14, 20, 26, 27, 35, 40, 43, 62a | # 5, 15, 21, 25, 61 | ||
| Rec | Sections 3.1 & 3.3 | |||||
| Week 6 | Sep 28 - Oct 02 | M | 3.5/3.6 | Implicit Differentiation (Inverse Trig Derivatives) /Derivatives of Logarithmic Functions |
p. 224 # 64, 66, 75, 76, 81 p. 224 # 13, 25, 26, 31, 36, 40, 43, 44 p. 269 T/F # 8 |
3.5: p. 224 # 63, 65, 73 3.6: # 4, 5, 6, 8, 21, 26, 32 |
| W | 3.6 | Derivatives of Logarithmic Functions (Log Diff) | p. 224 # 46, 50, 51, 54, 56, 58 | # 49, 57 | ||
| F | 3.9 | Related Rates | p. 251 # 4, 12, 16, 17 | # 6, 9, 12, 13, 50 | ||
| Rec | Sections 3.4 & 3.5 | |||||
| Week 7 | Oct 05 - Oct 09 | M | 3.9 | Related Rates | p. 251 # 18, 25, 26, 30, 32, 43 | # 18, 25, 35, 42, 45 |
| W | 4.1 | Maximum and Minimum Values | p. 286 # 10, 11, 28, 34, 41, 51, 82 p. 364 T/F # 1, 2, 3 |
# 5, 30, 39, 57, 59, 63, 73, 74 | ||
| F | No Class - Fall Break | |||||
| Rec | Sections 3.6 & 3.9 | |||||
| Week 8
Test 2
|
Oct 12 - Oct 16 | M | Test 2 [Sections 3.1-3.6, 3.9] | |||
| W | 4.2 | The Mean Value Theorem | p. 295 # 3, 10, 13, 14, 23, 25, 41, 42 p. 364 T/F # 4 |
# 9, 10, 13, 23, 25 | ||
| F | 4.2 | The Mean Value Theorem | p. 296 # 16, 17, 21, 30, 31 | # 16, 18, 40 | ||
| Rec | Section 4.1 | |||||
| Week 9 | Oct 19 - Oct 23 | M | 4.3 | What Derivatives Tell Us about the Shape of a Graph (1st Derivative Test/ Increasing & Decreasing) | p. 305 # 8ab, 9, 15, 16 | # 5, 15 |
| W | 4.3/4.5 | What Derivatives Tell Us about the Shape of a Graph (Concavity/POI)/Summary of Curve Sketching | p. 305 # 7, 20, 33, 34, 36, 45, 88 p. 327 #11,12, 14 |
4.3: # 23, 28, 32, 33, 43 4.5: #24, 55 |
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| F | 4.7 | Optimization Problems | p. 342 # 5, 19, 25, 33 | # 3, 7, 13, 27 | ||
| Rec | Sections 4.2 & 4.3 | |||||
| Week 10 | Oct 26 - Oct 30 | M | 4.7 | Optimization Problems | p. 342 # 40, 41, 54, 60, 71, 78 | # 40, 54 |
| W | 4.9 | Antiderivatives (Rules and Differential Equations) | p. 361 # 1, 6, 9, 10, 12, 13, 16, 19, 20, 21, 22, 26, 40, 52, 54, 55, 57, 59, 60, 65, 68, 72 | # 6, 9, 11, 15, 17, 33, 36, 43, 45, 71, 81 | ||
| F | 5.1 | Areas and Distances | p. 381 # 1, 2, 4, 7, 8, 13 | # 9, 11 | ||
| Rec | Sections 4.5 & 4.7 | |||||
| Week 11
Test 3
|
Nov 02 - Nov 06 | M | Test 3 [Sections 4.1, 4.2, 4.3, 4.5, 4.7] | |||
| W | 5.1/5.2 | Areas and Distances (sigma notation/limits)/The Definite Integral | p. 383 # 16*, 18*, 22, 23, 24 (*Use left endpoints) p. 394 # 5, 13, 14, 19, 25, 29, 32, 36, 46 |
5.1: # 15, 19, 22 5.2: # 1, 7, 12, 21 |
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| F | 5.2 | The Definite Integral | p. 396 # 52, 53, 58, 61, 63, 65, 68, 80 | # 26, 36, 39, 45, 57, 59, 62 | ||
| Rec | Section 5.1 | |||||
| Week 12 | Nov 09 - Nov 13 | M | 5.3 | The Fundamental Theorem of Calculus | p. 406 # 4, 9, 15, 20 p. 406 # 21, 41, 45, 47, 49, 70, 73, 83, 94 |
# 3, 9, 13, 15, 17, 29, 52, 79, 84 |
| W | 5.4 | Indefinite Integrals and the Net Change Theorem | p. 415 # 3, 14, 15, 22, 35, 45, 46, 52, 54, 55, 61, 62, 71, 74 | # 10, 13, 15, 22, 59, 64, 69, 72, 76 | ||
| F | 5.5 | The Substitution Rule | p. 425 # 10, 22, 35, 42, 46, 54 | # 3, 15, 27, 31, 40, 50 | ||
| Rec | Sections 5.2 & 5.3 | |||||
| Week 13 | Nov 16 - Nov 20 | M | 5.5 | The Substitution Rule | p. 425 # 62, 66, 72, 75, 77, 83, 85, 90, 93 | # 61, 65, 68, 73, 87 |
| W | 3.10 | Linear Approximations | p. 258 # 4, 10, 31, 36, 40a, 52 | # 5, 31, 36, 40 | ||
| F | 4.8 | Newton's Method | p. 354 # 5, 15, 31 p. 354 # 3, 11 |
# 4, 10, 12, 13, 27 | ||
| Rec | Sections 5.4 & 5.5 | |||||
| Thanksgiving Break | ||||||
| Week 14
Test 4
|
Nov 30 - Dec 04 | M | 3.7 | Rates of Change in the Natural and Social Sciences (Particle Motion) | p. 235 # 6, 7, 8, 12 p. 271 # 93 |
# 1, 5, 7, 8, 9, 10 |
| W | Test 4 [Sections 4.9, 5.1-5.5] | |||||
| F | Final Exam Review 1 | |||||
| Rec | Project | |||||
| Week 15 | Dec 07 - Dec 09 | M | Final Exam Review 2 | |||
| W | Final Exam Review 3 | |||||
| Final Exam | Dec 12 | S | 7:00pm-9:00pm | |||