24 TA: add hw_list

2bc0c8-2024_spring_TA/hw_list.typ

@@ -0,0 +1,190 @@
+#set text(
+  font: ("linux libertine", "Source Han Serif SC", "Source Han Serif"),
+  size: 10pt,
+)
+#show math.equation: it => text(size: 10pt, math.display(it))
+#let dcases(..args) = {
+  let dargs = args.pos().map(it => math.display(it))
+  math.cases(..dargs)
+}
+
+#show image: it => align(center, it)
+#show heading.where(level: 3): it => highlight(it)
+
+#let Real = "Re"
+#let Imaginary = "Im"
+
+#set page(
+  header: context [
+    #h(1fr)
+    #if counter(page).get().first() > 1 [
+      *作业答案汇总*
+    ]
+  ],
+  footer: context [
+    #let headings = query(selector(heading.where(level: 2)).before(here()))
+    #if headings.len() > 0 {
+      text(size: 8pt, headings.last().body)
+    }
+    #h(1fr)
+    #counter(page).display(
+      "1/1",
+      both: true,
+    )
+  ],
+)
+
+#align(center)[
+  = 作业答案汇总
+  2024 Spring 数学分析 B2
+
+  马天开 #h(1em) 刘国瑞 #h(1em) 刘董
+]
+
+- Week 1:
+  - 2.26 P14 67 19 21
+
+  - 2.28 P14 8 12 24 27 P23 2 5
+
+  - 3.1 P24 7(1) 8(1) 10 11 14 15 18 19(2) 23(1) 27 28 33 35
+
+- Week 2:
+  - 3.4 P36 1(1)(5) 3(1)(3) 4 5 8 9 10 11
+
+  - 3.6 P43 3 5 6
+
+  - 3.8 P62 2 6
+
+- Week 3:
+  - 3.11 P62 12 14(3)(4)(8)(10)(11)(12) 15 17(1)(3)(4) 15 17(1)(3)(4) 18 21
+
+  - 3.13 P80 1(3) 2(2)(5)(8) 3 4 6 13(4)(5) 15 16 17
+
+  - 3.15 P81 9(2)(5) 11 12 22 23 24
+
+- Week 4:
+  - 3.18 P82 19(3)(4) 20(3)(4) 25 27 30 32 33 34 36(2)(5)
+
+  - 3.20 P95 2(1)(2)(4) 3
+
+  - 3.22 P95 4(2)(4) 7 9 10 11(3) 12(2) 13
+
+- Week 5:
+  - 3.25
+
+  - 3.27 P109 6(1) 8(2) 9 10 11 15 17(2)
+
+  - 3.29 P124 1(1) 2(2) 3 4(1)(2)(5) 5
+
+- Week 6:
+  - 4.1 P125 7(3)(4)(5)
+
+  - 4.3 P125 9 10(3)(4) 11(1)(3) 13 18 19 20 21
+
+  // - 4.5
+
+- Week 7:
+  // - 4.7
+
+  - 4.8 P156 2(1)(2)(3)(6)(7)(8)
+
+  - 4.10 P156 1(2)(3)(5)(6) 3 5 6 7
+
+  - 4.12 P166 1(1)(4)(5) 2(2)(5)(8) 3(2)(3) 4 6 7
+
+- Week 8:
+  - 4.15 P180 1(2)(3)(4) 2(2)(4) 3(1)(2)(3)(5)(6)(8)
+
+  - 4.17 P181 4(3)(5)(6) 5(2)(4)(6)(7) 6 7 8 9
+
+  // - 4.19
+
+- Week 9:
+  - 4.22 P193 1(3)(4)(5) 2(2)(5)(9)(10)(11)(12)
+
+  - 4.24 P199 1(1)(2)(5) 2(2)(3)(6)(7) 3 4
+
+  - 4.26 P214 1(3)(4)(6) 2
+
+- Week 10:
+  - 4.29 P215 4(2)(3)(4)(6) 5 6
+
+  // - 5.1
+
+  // - 5.3
+
+- Week 11:
+  - 5.6
+
+    +
+      $
+        I = integral_L (x-y) / (x^2+y^2) dif x + (x+y) / (x^2+y^2) dif y
+      $
+
+      $L$: 从 $A(-a,0)$ 经过上半椭圆 $x^2/a^2+y^2/b^2=1 space (y>=0)$ 到 $B(a,0)$ 的一段曲线
+
+    +
+      $
+        I = integral.cont_Gamma e^y / (x^2+y^2)[(x sin x+y cos x) dif x\ +(y sin x - x cos x) dif y]
+      $
+
+      $Gamma: x^2+y^2=1$, 逆时针方向
+
+  - 5.8 P227 1(1)(3)(5)(6)(7) 2
+
+    补充:
+
+    设 $S$ 为 $z-c=sqrt(R^2-(x-a)^2-(y-b)^2)$ 的上侧, 计算:
+
+    $
+      I = integral.double_S x^2dif y dif z+y^2 dif z dif x+(x-a)y z dif x dif y
+    $
+
+  - 5.10 P233 1(3)(5)(6) 2 3 4 7
+
+  - 5.11 P234 9(2)(4)(5)(6) 10 11 12
+
+- Week 12:
+
+  - 5.13 P241 3
+
+  - 5.15 P247 2(1) 3(1) 4 5(2) 6(2)(6) 7 9 10 11 12(1)
+
+  // - 5.17
+
+- Week 13:
+  - 5.20 P269 1(1)(2) 2(1)(3)
+
+  - 5.22 P269 3(1)(3) 4 5 8 9
+
+  - 5.24 P279 1 2 3 5 6
+
+- Week 14:
+  - 5.27 P285 1 4 5 6 8 9
+
+  - 5.29 P294 1(2) 2(2) 3 4 5
+
+  // - 5.31
+
+- Week 15:
+  - 6.3 P307 1(1)(2)(3)(9)(10)(12) 2(3)(4)(5) 3 4
+
+  - 6.5 P317 1(2) 2(2)(4) 4(1)(2)(4)
+
+  - 6.7
+
+    设 $f(x)in C[0,1]$ 讨论 $F(t)=integral_0^1 t/(x^2+t^2) f(x) dif x$ 连续性
+
+- Week 16:
+
+  // - 6.10
+
+  - 6.12 P331 1(3)(5)(6) 2(2)(4)(5)(6) 3
+
+  - 6.14 P331 6 7(2)(5)(6) 8(1)(3)(6)
+
+- Week 17 (无需提交):
+
+  - 6.17 P340 1 2 3(2)(3)(4)(8)(9)(10)
+
+  // - 6.19